Republican senators fear President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE and their party are losing the public opinion fight over impeachment.

Many in the GOP think House Democrats are playing politics with impeachment and that Trump’s actions don’t merit impeachment. They also think the media is biased against the White House and the president.

All the same, they think they’re losing the public battle and that Trump’s lack of discipline is hurting them.

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“Does he need to be so unhinged? He says the dumbest things,” said one Republican senator who vented frustration with the president’s outbursts on Twitter and in front of the White House press corps.

“Yeah, there needs to be a coordinated response to everything. There needs to be a coordinated effort to just shut up,” the senator said.

GOP lawmakers say that President Trump and his political team need to overhaul their strategy to regain momentum and prevent their party from losing the White House and a number of congressional seats next fall.

They say the White House’s efforts so far not only could limit Trump to one term, but could spell doom for vulnerable Senate GOP incumbents such as Sens. Susan Collins Susan Margaret CollinsDemocratic senator to party: 'A little message discipline wouldn't kill us' Poll: 57 percent of Americans think next president, Senate should fill Ginsburg vacancy On The Trail: Making sense of this week's polling tsunami MORE (Maine), Martha McSally Martha Elizabeth McSallyOn The Trail: Making sense of this week's polling tsunami The Hill's Campaign Report: Presidential polls tighten weeks out from Election Day Mark Kelly: Arizona Senate race winner should be sworn in 'promptly' MORE (Ariz.), Cory Gardner Cory Scott GardnerBreaking the Chinese space addiction Trump dumbfounds GOP with latest unforced error Billionaire who donated to Trump in 2016 donates to Biden MORE (Colo.), Joni Ernst Joni Kay ErnstOn The Trail: Making sense of this week's polling tsunami Tillis appears to reinforce question about COVID-19 death toll The power of incumbency: How Trump is using the Oval Office to win reelection MORE (Iowa) and Thom Tillis Thomas (Thom) Roland TillisOvernight Energy: Trump officials finalize plan to open up protected areas of Tongass to logging | Feds say offshore testing for oil can proceed despite drilling moratorium | Dems question EPA's postponement of inequality training On The Trail: Making sense of this week's polling tsunami Feds say offshore testing for oil can proceed despite drilling moratorium MORE (N.C.).

A veteran Republican strategist who advises on third-party independent TV expenditures told The Hill Wednesday that he thinks Trump’s reelection chances are well below 50 percent because his “negatives are so high.”

The strategist acknowledged, however, that many of his peers argue the 2020 battle for the White House is still a 50-50 proposition.

Even Sen. Lindsey Graham Lindsey Olin GrahamLincoln Project mocks Lindsey Graham's fundraising lag with Sarah McLachlan-themed video The Hill's Morning Report - Sponsored by Facebook - Republicans lawmakers rebuke Trump on election Trump dumbfounds GOP with latest unforced error MORE (R-S.C.), one of Trump’s most vociferous defenders on impeachment who is offering a resolution to condemn the House impeachment effort, said the White House needs to step up its game.

“What's missing here I think is that coordinated effort to put somebody in charge of developing a message and delivering it. I believe that's about to be corrected, I hope,” he said Wednesday.

It’s notable that while 44 Senate Republicans on Thursday signed on to the resolution, nine other GOP senators did not: Collins, Gardner, Sen. Dan Sullivan Daniel Scott SullivanOvernight Energy: Trump officials finalize plan to open up protected areas of Tongass to logging | Feds say offshore testing for oil can proceed despite drilling moratorium | Dems question EPA's postponement of inequality training Trump administration finalizes plan to open up protected areas of Tongass National Forest to logging OVERNIGHT ENERGY: House passes sweeping clean energy bill | Pebble Mine CEO resigns over secretly recorded comments about government officials | Corporations roll out climate goals amid growing pressure to deliver MORE (Alaska), Sen. Lisa Murkowski Lisa Ann MurkowskiDemocratic senator to party: 'A little message discipline wouldn't kill us' Overnight Energy: Trump officials finalize plan to open up protected areas of Tongass to logging | Feds say offshore testing for oil can proceed despite drilling moratorium | Dems question EPA's postponement of inequality training Poll: 57 percent of Americans think next president, Senate should fill Ginsburg vacancy MORE (Alaska), Sen. Rob Portman Robert (Rob) Jones PortmanMcConnell locks down key GOP votes in Supreme Court fight Romney undecided on authorizing subpoenas for GOP Obama-era probes Congress needs to prioritize government digital service delivery MORE (Ohio), Sen. Mitt Romney Willard (Mitt) Mitt RomneyCrenshaw looms large as Democrats look to flip Texas House seat The Hill's Morning Report - Sponsored by Facebook - Republicans lawmakers rebuke Trump on election Trump dumbfounds GOP with latest unforced error MORE (Utah), Sen. Lamar Alexander Andrew (Lamar) Lamar AlexanderPelosi urges early voting to counter GOP's high court gambit: 'There has to be a price to pay' Graham: GOP has votes to confirm Trump's Supreme Court nominee before the election The Hill's Morning Report - Sponsored by Facebook - Washington on edge amid SCOTUS vacancy MORE (Tenn.), Sen. Johnny Isakson Johnny IsaksonDemocrats ramp up pressure on Lieberman to drop out of Georgia Senate race Obama endorses Warnock in crowded Georgia Senate race Lobbying world MORE (Ga.) and Sen. Mike Enzi Michael (Mike) Bradley EnziChamber of Commerce endorses McSally for reelection Cynthia Lummis wins GOP Senate primary in Wyoming The Hill's Convention Report: Democrats gear up for Day Two of convention MORE (Wyo.).

Republicans are concerned about new revelations and unforced errors over the past week that have given Democrats new momentum.

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One big moment came last week when acting White House chief of staff Mick Mulvaney Mick MulvaneyOn The Money: House panel pulls Powell into partisan battles | New York considers hiking taxes on the rich | Treasury: Trump's payroll tax deferral won't hurt Social Security Blockchain trade group names Mick Mulvaney to board Mick Mulvaney to start hedge fund MORE said the administration withheld defense aid to Ukraine in order to pressure Ukrainian President Volodymyr Zelensky to investigate Democratic presidential candidate Joe Biden Joe BidenFormer Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick Bloomberg rolls out M ad buy to boost Biden in Florida MORE and his son Hunter.

“Get over it. There’s going to be political influence in foreign policy,” Mulvaney declared at a press conference in a high-profile admission that left GOP lawmakers cringing.

Mulvaney later argued that his comments were misconstrued, but a bruising interview with Chris Wallace Christopher (Chris) WallaceHouse to vote on resolution affirming peaceful transition of power Gayle King calls out Pelosi for calling Trump supporters 'henchmen': 'Egregious language' GOP lawmakers distance themselves from Trump comments on transfer of power MORE on “Fox News Sunday” showed the damage was done.

Another big moment came Tuesday when William Taylor, the acting U.S. ambassador to Ukraine, delivered a damning 15-page opening statement to House investigators detailing a secretive effort led by Trump’s personal attorney Rudy Giuliani Rudy GiulianiThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting CIA found Putin 'probably directing' campaign against Biden: report Democrats fear Russia interference could spoil bid to retake Senate MORE to use military assistance to Ukraine as political leverage.

Senate Majority Whip John Thune John Randolph ThuneHouse to vote on resolution affirming peaceful transition of power Trump dumbfounds GOP with latest unforced error Senate passes resolution reaffirming commitment to peaceful transition of power MORE (S.D.), the No. 2 Senate Republican leader, later admitted to reporters the picture painted by Taylor’s testimony was worrying, even while he also criticized House Democrats for running the investigation behind closed doors.

“The picture coming out of it based on the reporting that we've seen is, yeah, I would say not a good one,” Thune told reporters Wednesday.

Trump’s actions at times have left his GOP allies dumbfounded, such as earlier this month when he called on Beijing to investigate the Bidens.

Even Graham admitted in an “Axios on HBO” interview that “that was stupid.”

And the president stepped in it again earlier this week when he compared the House impeachment inquiry to a “lynching,” a charged word that recalls the nation’s darkest episodes of racial violence.

Many Republicans scrambled to disavow Trump’s choice of words.

“Given the history of our country, I would not compare this to a lynching,” Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellDemocratic senator to party: 'A little message discipline wouldn't kill us' House to vote on resolution affirming peaceful transition of power Republican lawyers brush off Trump's election comments MORE (R-Ky.) said somberly, reflecting broad dismay within his caucus over the language.

Other Trump allies say the president’s frequent zigging and zagging makes it tougher to defend him against Democratic attacks, even though they also acknowledge that past efforts to tamp down on Trump’s tweeting have proved unsuccessful.

“I think it could be helpful to have a more professional, coordinated communications effort. However, you have to be very careful to not prohibit Donald Trump from being Donald Trump and that’s the risk you run when you start institutionalizing these things,” said Sen. Kevin Cramer Kevin John CramerAbortion stirs GOP tensions in Supreme Court fight Momentum growing among Republicans for Supreme Court vote before Election Day On Paycheck Protection Program, streamlined forgiveness is key MORE (R-N.D.).

But Cramer said Trump’s unpredictability makes it tougher for GOP allies to defend the president.

“The reason it’s difficult is sometimes he changes in midstream and when that happens you find yourself out on a limb that has suddenly been cut off,” he said. “The lack of that sort of institutional discipline does make it more difficult for the rest of us, if you will, as we’re trying to carry his message.”

Thune on Thursday expressed his hope the White House messaging operation would become more organized in the weeks ahead.

“It always is an advantage to make sure that you are as organized, prepared and coordinated as you possibly can be. And to the degree they can step up the efforts, that’s great,” he said.

“I’ll leave that to them and I’m sure they’re preparing,” he added. “We’ll see if the House proceeds. If they do, they’re going to have be able to respond and put on a defense.”

As damaging revelations pile up, more and more senators such as McSally and Sen. Tim Scott Timothy (Tim) Eugene ScottAuthor Ryan Girdusky: RNC worked best when highlighting 'regular people' as opposed to 'standard Republicans' Now is the time to renew our focus on students and their futures GOP lobbyists pleasantly surprised by Republican convention MORE (R-S.C.), who both declined to comment on impeachment-related questions Thursday, are opting to stay quiet rather than defend the president.