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 (R-Alaska) on Thursday criticized President Trump for his attack on "Morning Joe" host Mika Brzezinski's looks, asking if the president wants to be remembered for his accomplishments or his Twitter attacks.

"Do you want to be remembered for your tweets or your accomplishments," she tweeted to Trump.

"Stop it! The Presidential platform should be used for more than bringing people down," she added.

@POTUS, do you want to be remembered for your tweets or your accomplishments? — Sen. Lisa Murkowski (@lisamurkowski) June 29, 2017

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

Trump tweeted a series of insults early Thursday at "Morning Joe" and specifically attacked Brzezinski’s appearance, saying she was ”bleeding badly from a face-lift" during a New Year's Eve celebration at his Mar-a-Lago club in Florida.

...to Mar-a-Lago 3 nights in a row around New Year's Eve, and insisted on joining me. She was bleeding badly from a face-lift. I said no! — Donald J. Trump (@realDonaldTrump) June 29, 2017

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A majority of American voters say Trump should stop tweeting from his personal Twitter account, according to a Quinnipiac poll released Thursday.

Even among Republicans, 49 percent say Trump should stop tweeting, while 43 percent say he should continue — the first time a Quinnipiac poll has found more GOP voters want him to stop tweeting than continue.