Washington (CNN) It marked a rare presidential moment on a most un-presidential day -- Donald Trump stood at a podium flanked by flags as "Stars and Stripes Forever" rang out, after delivering a speech on energy .

But a day later, all around Washington on Friday, a storm of criticism still raged around his decision to level vicious tweets at MSNBC television anchor Mika Brzezinski

The controversy was yet another reminder, a few days ahead of America's birthday, that Trump is a leader like no other in the nation's 241-year history, who plans to stay true to himself and is willing to flout norms of decorum.

The longer such antics go on, more and more people will question whether the leader of the free world is not just damaging his own presidency, but demeaning the office itself and potentially diminishing it for whoever comes after him.

"It's unworthy of the office of President of the United States," Maine Sen. Susan Collins told CNN's Anderson Cooper. "And I am concerned about how we look in the eyes of the world as well as our own citizens."

Republican Rep. Adam Kinzinger of Illinois told CNN's "New Day" Friday "that's a tweet that's not even becoming of a city councilman."

Thursday's tweets focused attention on Trump's coarse brand of political discourse, and his ironclad principle that anyone who criticizes him, as Brzezinski did on her show on Thursday, can expect a gut punch in return.

His tweet outraged political leaders in Washington and renewed debate about the President's history of disparaging remarks about women. It left allies fuming about yet another day when his political agenda was drowned out by Trump-induced tumult.

But on a deeper level, the shocking tweet, which claimed that the "Morning Joe" host had been "bleeding badly from a facelift," raised questions about whether his behavior was appropriate from a head of state, about his respect for his office itself, and whether this presidency could irrevocably erode the standards of dignity that have grown around it since George Washington swore the first oath of office in New York City in 1789.

The New York Daily News revealed its Friday cover -- a bald eagle, head hanging down as if in shame, with "humiliation" in capital letters.

How did we get here?



A sneak peek at Friday's front page: https://t.co/zGR78o9N9L pic.twitter.com/qrzLJfhj2t — New York Daily News (@NYDailyNews) June 29, 2017

Brzezinski and her co-host and fiancee Joe Scarborough hit back at the President on their show Friday morning, prompting a new blast from Trump on Twitter as their feud escalated.

"We're OK. The country is not," Scarborough said on "Morning Joe," and accused the President of harboring a "disturbing obsession with Mika."

Brzezinski said Trump's behavior was "frightening and really sad for our country."

The President was tuned in, and tweeted that he "Watched low rated @Morning_Joe for first time in long time," and branded the show "FAKE NEWS."

Watched low rated @Morning_Joe for first time in long time. FAKE NEWS. He called me to stop a National Enquirer article. I said no! Bad show — Donald J. Trump (@realDonaldTrump) June 30, 2017

Trump's tweet was set to generate another day of discussion in Washington about whether his conduct was becoming of a President.

But, for a sense of proportion, it might also be said that his tweets, while often misrepresenting facts and dealing in personal attacks, pale in comparison to the actions of some of his predecessors. Also casting the presidency in a poor light were President Bill Clinton's Oval Office encounters with an intern and President Richard Nixon's cover-up that led to his resignation over the Watergate scandal.

And respect for the presidency, like many other institutions, was declining long before Trump tried his hand at politics. In 1991, 93% of Americans polled by Gallup had some level of respect for the presidency. By June 2016, that number was down at 63%.

Yet Trump's demeanor obviously falls short of the elevated standards established by the likes of Washington, Abraham Lincoln or Ronald Reagan, and appears to risk fraying that faith in his office still further.

Unlike some of those leaders, it is not clear that Trump regards the presidency as a public trust to be preserved and passed onto successive generations. He often seems more concerned with his own image than the reputation of the presidency itself, as his fixation with the size of his election victory and inauguration crowds has revealed.

JUST WATCHED Trump tweets about this more than anything Replay More Videos ... MUST WATCH Trump tweets about this more than anything 04:09

He's exactly the same

Trump does not exist in a vacuum. He is an expression of a polarized political age that lacks civility, shaped by reality television and instant emotional kick of social media that has shattered political and societal norms. In many ways, Trump seems to be exactly the same personality who lived out his life in the New York tabloids and swapped smutty stories with radio host Howard Stern.

So far at least, he doesn't seem to be changed by the responsibilities heaped on his shoulders.

But while his unchained style helped him win the presidency, it may be undermining his chances of significant achievements now that he is in office.

That's because the presidency is more than a job. The pageantry, from the Oval Office, to the "beast" limousine, to Air Force One as it jets into a foreign land, conjures up a mystique and a statement of power -- that Trump appears not yet to have harnessed to its full potential.

His White House's war with the media, the chaos that pervades the administration, and the fact the President dispels his own elevated aura by inviting the world into his mind every day on his Twitter feed also seem at risk of diminishing the unique power and prestige of his office.

Many Presidents were flawed men who made questionable moral choices. But most at least tried to keep their anger and most unguarded inner thoughts private, a safety valve that Trump seems to lack.

Trump's tweet was far from his only outrageous comment as a candidate or a President. But it appeared to set off a pent-up explosion of anger towards Trump over weeks of patience-fraying political tribulations.

Mr. President, your tweet was beneath the office and represents what is wrong with American politics, not the greatness of America. — Lindsey Graham (@LindseyGrahamSC) June 29, 2017

Republican Sen. Lindsey Graham of South Carolina tweeted: "Mr. President, your tweet was beneath the office and represents what is wrong with American politics, not the greatness of America."

Alaska Sen. Lisa Murkowski tweeted: "Stop it! The Presidential platform should be used for more than bringing people down."

Stop it! The Presidential platform should be used for more than bringing people down. — Sen. Lisa Murkowski (@lisamurkowski) June 29, 2017

House Speaker Paul Ryan, who normally swerves away from Trump tweets, said this one was not "appropriate" and didn't help efforts to change the political tone. Pennsylvania Republican Sen. Pat Toomey told CNN's Jake Tapper it was "maddening."

JUST WATCHED Trump focuses on looks of his female critics Replay More Videos ... MUST WATCH Trump focuses on looks of his female critics 01:51

Thin-skinned

In some ways, the outpouring of criticism toward Trump was surprising precisely because his attack on Brzezinski was not all that surprising.

After all, he has a long record of incendiary comments toward his perceived opponents in the media, and directed at women particularly.

During his campaign, he insulted John McCain's war record, made vulgar comments about then Fox News anchor Megyn Kelly and berated the grieving Muslim parents of a fallen war hero. As President, he claimed he was being wiretapped by the previous administration without evidence and seemed to suggest he may have tapes of conversations with FBI chief James Comey.

This time it seemed different, perhaps because the bullying tweet aimed at Brzezinski was another tweet targeted from the White House -- the people's house -- by a man who is the President of all Americans.

That may explain why few came to Trump's defense, save for his loyal deputy press secretary Sarah Huckabee Sanders, in an abrasive encounter with the White House press corps.

"The President has been attacked mercilessly on personal accounts by members on that program, and I think he's been very clear that when he gets attacked, he's going to hit back," Huckabee Sanders said.

"They do this day after day after day, and then the President responds and defends himself and everybody is appalled and blown away," she added.

Photos: Donald Trump's rise President-elect Donald Trump has been in the spotlight for years. From developing real estate and producing and starring in TV shows, he became a celebrity long before winning the White House. Hide Caption 1 of 37 Photos: Donald Trump's rise Trump at age 4. He was born in 1946 to Fred and Mary Trump in New York City. His father was a real estate developer. Hide Caption 2 of 37 Photos: Donald Trump's rise Trump, left, in a family photo. He was the second-youngest of five children. Hide Caption 3 of 37 Photos: Donald Trump's rise Trump, center, stands at attention during his senior year at the New York Military Academy in 1964. Hide Caption 4 of 37 Photos: Donald Trump's rise Trump, center, wears a baseball uniform at the New York Military Academy in 1964. After he graduated from the boarding school, he went to college. He started at Fordham University before transferring and later graduating from the Wharton School, the University of Pennsylvania's business school. Hide Caption 5 of 37 Photos: Donald Trump's rise Trump stands with Alfred Eisenpreis, New York's economic development administrator, in 1976 while they look at a sketch of a new 1,400-room renovation project of the Commodore Hotel. After graduating college in 1968, Trump worked with his father on developments in Queens and Brooklyn before purchasing or building multiple properties in New York and Atlantic City, New Jersey. Those properties included Trump Tower in New York and Trump Plaza and multiple casinos in Atlantic City. Hide Caption 6 of 37 Photos: Donald Trump's rise Trump attends an event to mark the start of construction of the New York Convention Center in 1979. Hide Caption 7 of 37 Photos: Donald Trump's rise Trump wears a hard hat at the Trump Tower construction site in New York in 1980. Hide Caption 8 of 37 Photos: Donald Trump's rise Trump was married to Ivana Zelnicek Trump from 1977 to 1990, when they divorced. They had three children together: Donald Jr., Ivanka and Eric. Hide Caption 9 of 37 Photos: Donald Trump's rise The Trump family, circa 1986. Hide Caption 10 of 37 Photos: Donald Trump's rise Trump uses his personal helicopter to get around New York in 1987. Hide Caption 11 of 37 Photos: Donald Trump's rise Trump stands in the atrium of the Trump Tower. Hide Caption 12 of 37 Photos: Donald Trump's rise Trump attends the opening of his new Atlantic City casino, the Taj Mahal, in 1989. Hide Caption 13 of 37 Photos: Donald Trump's rise Trump signs his second book, "Trump: Surviving at the Top," in 1990. Trump has published at least 16 other books, including "The Art of the Deal" and "The America We Deserve." Hide Caption 14 of 37 Photos: Donald Trump's rise Trump and singer Michael Jackson pose for a photo before traveling to visit Ryan White, a young child with AIDS, in 1990. Hide Caption 15 of 37 Photos: Donald Trump's rise Trump dips his second wife, Marla Maples, after the couple married in a private ceremony in New York in December 1993. The couple divorced in 1999 and had one daughter together, Tiffany. Hide Caption 16 of 37 Photos: Donald Trump's rise Trump putts a golf ball in his New York office in 1998. Hide Caption 17 of 37 Photos: Donald Trump's rise An advertisement for the television show "The Apprentice" hangs at Trump Tower in 2004. The show launched in January of that year. In January 2008, the show returned as "Celebrity Apprentice." Hide Caption 18 of 37 Photos: Donald Trump's rise A 12-inch talking Trump doll is on display at a toy store in New York in September 2004. Hide Caption 19 of 37 Photos: Donald Trump's rise Trump attends a news conference in 2005 that announced the establishment of Trump University. From 2005 until it closed in 2010, Trump University had about 10,000 people sign up for a program that promised success in real estate. Three separate lawsuits -- two class-action suits filed in California and one filed by New York's attorney general -- argued that the program was mired in fraud and deception. Trump's camp rejected the suits' claims as "baseless." And Trump has charged that the New York case against him is politically motivated. Hide Caption 20 of 37 Photos: Donald Trump's rise Trump attends the U.S. Open tennis tournament with his third wife, Melania Knauss-Trump, and their son, Barron, in 2006. Trump and Knauss married in 2005. Hide Caption 21 of 37 Photos: Donald Trump's rise Trump wrestles with "Stone Cold" Steve Austin at WrestleMania in 2007. Trump has close ties with the WWE and its CEO, Vince McMahon. Hide Caption 22 of 37 Photos: Donald Trump's rise For "The Apprentice," Trump was honored with a star on the Hollywood Walk of Fame in January 2007. Hide Caption 23 of 37 Photos: Donald Trump's rise Trump appears on the set of "The Celebrity Apprentice" with two of his children -- Donald Jr. and Ivanka -- in 2009. Hide Caption 24 of 37 Photos: Donald Trump's rise Trump poses with Miss Universe contestants in 2011. Trump had been executive producer of the Miss Universe, Miss USA and Miss Teen USA pageants since 1996. Hide Caption 25 of 37 Photos: Donald Trump's rise In 2012, Trump announces his endorsement of Republican presidential candidate Mitt Romney. Hide Caption 26 of 37 Photos: Donald Trump's rise Trump speaks in Sarasota, Florida, after accepting the Statesman of the Year Award at the Sarasota GOP dinner in August 2012. It was shortly before the Republican National Convention in nearby Tampa. Hide Caption 27 of 37 Photos: Donald Trump's rise Trump appears on stage with singer Nick Jonas and television personality Giuliana Rancic during the 2013 Miss USA pageant. Hide Caption 28 of 37 Photos: Donald Trump's rise In June 2015, during a speech from Trump Tower, Trump announced that he was running for President. He said he would give up "The Apprentice" to run. Hide Caption 29 of 37 Photos: Donald Trump's rise Trump -- flanked by U.S. Sens. Marco Rubio, left, and Ted Cruz -- speaks during a CNN debate in Miami on March 10. Trump dominated the GOP primaries and emerged as the presumptive nominee in May. Hide Caption 30 of 37 Photos: Donald Trump's rise The Trump family poses for a photo in New York in April. Hide Caption 31 of 37 Photos: Donald Trump's rise Trump speaks during a campaign event in Evansville, Indiana, on April 28. After Trump won the Indiana primary, his last two competitors dropped out of the GOP race. Hide Caption 32 of 37 Photos: Donald Trump's rise Trump delivers a speech at the Republican National Convention in July, accepting the party's nomination for President. "I have had a truly great life in business," he said. "But now, my sole and exclusive mission is to go to work for our country -- to go to work for you. It's time to deliver a victory for the American people." Hide Caption 33 of 37 Photos: Donald Trump's rise Trump faces Democratic nominee Hillary Clinton in the first presidential debate, which took place in Hempstead, New York, in September. Hide Caption 34 of 37 Photos: Donald Trump's rise Trump apologizes in a video, posted to his Twitter account in October, for vulgar and sexually aggressive remarks he made a decade ago regarding women. "I said it, I was wrong and I apologize," Trump said, referring to lewd comments he made during a previously unaired taping of "Access Hollywood." Multiple Republican leaders rescinded their endorsements of Trump after the footage was released. Hide Caption 35 of 37 Photos: Donald Trump's rise Trump walks on stage with his family after he was declared the election winner on November 9. "Ours was not a campaign, but rather, an incredible and great movement," he told his supporters in New York. Hide Caption 36 of 37 Photos: Donald Trump's rise Trump is joined by his family as he is sworn in as President on January 20. Hide Caption 37 of 37

But Trump's skin does seem particularly thin. Presidents have long been mercilessly attacked but have often chosen to respond in a manner in keeping with the dignity of an office that Washington called an "arduous trust" in his farewell address.

The last two Presidents, for example, have often fumed privately. After the Iraq War degenerated into a bloody insurgency, George W. Bush was relentlessly attacked over his intellect and leadership skills. But he rarely snapped in public.

President Barack Obama, the first African-American commander in chief, endured a character assassination over claims he was not even born in the United States -- conducted by Trump himself -- and only rarely displayed his public disgust for his accuser.

Trump's supporters, by this time, are well used to his eruptions on Twitter and elsewhere, and may shrug their shoulders at his assault on a mainstream media figure.

In fact, Huckabee said, Trump's bombast was the reason he is in the White House.

"The American people elected somebody who's tough, who's smart, and who's a fighter, and that's Donald Trump. And I don't think that it's a surprise to anybody that he fights fire with fire," she said.

History suggests it will take more than explosive tweets to tarnish the Oval Office.

"I am not sure that any damage to the office will be permanent because I cannot see another President like Trump being replicated," said Lori Cox Han, an author and professor who teaches courses on the presidency at Chapman University, California.

"I think of the office of the presidency as being incredibly resilient -- it survived Bill Clinton's impeachment, Richard Nixon's resignation ... survived the Civil War," Han said. "It and our Constitution will survive Trump -- no matter what side of the aisle you happen to be on."