Republican presidential frontrunner Donald Trump is squeezing himself out of the race with his bigoted remarks that Muslims should be banned from entering the US.

The White House on Tuesday said his call for the United States to ban Muslims from entering the country disqualified him from becoming president.

The remarks went against the US Constitution, legal experts said.

The White House also called on Republicans to reject him immediately.

White House spokesman Josh Earnest said Trump's campaign had a "dustbin of history" quality to it and said his comments were offensive and toxic, according to Reuters.

Reports are also rife that Trump may leave the Republican party and run his own campaign for Presidentship. But the critical question is whether or not he will face legal action for his hate speech against Muslims, for which he remains unrepentant.

Trump has thrown the GOP into chaos and other leaders in the presidential race have castigated his comments on Muslims.

Top leaders like the chairman of the Republican National Committee Reince Priebus, Jeb Bush, former US vice-president Dick Cheney have condemned Trump after initial silence, according to The Guardian.

The Guardian quoted Cheney as saying to radio host Hugh Hewitt: "Well, I think this whole notion that somehow we need to say no more Muslims and just ban a whole religion goes against everything we stand for and believe in. I mean, religious freedom's been a very important part of our, our history."

House speaker Paul Ryan said Trump's remarks violated the constitution and were "not who we are as a party". "This is not conservatism," he said, adding: "Some of our best and biggest allies in this struggle and fight against radical Islam terror are Muslims."

Meanwhile, Trump is being sued over allegations he defrauded millions of dollars from students who attended moneymaking courses at his "university". Cases have been lodged in California and New York and students claim they paid tens of thousands of dollars for courses at the Trump Entrepreneur Initiative, which failed to live up to expectations.