Donald TrumpDonald John Trump Former US ambassador: 'Denmark is not a big fan of Donald Trump and his politics' Senate Democrats push for arms control language in defense policy bill Detroit county sheriff endorses Booker for president MORE said late Monday that many Americans share fellow Republican presidential candidate Ben CarsonBenjamin (Ben) Solomon CarsonCarson's affordable housing idea drawing undue flak Overnight Energy: Trump EPA looks to change air pollution permit process | GOP senators propose easing Obama water rule | Green group sues EPA over lead dust rules Green group sues EPA over lead dust rules it says are too lax MORE’s skepticism toward the idea of a Muslim president.

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Trump added on Fox News’s “On the Record” that Islam struggles with extremist ideology more than other religions.

“You know, Ben was saying there are difficulties,” the GOP front-runner told host Greta Van Susteren.

“And I think everybody knows what those difficulties are,” Trump said. “People want to be politically correct, but there have been difficulties. And a lot of people agree with Ben.

“You do have a problem with the radical Muslims and the whole thing that’s going on around the world,” the outspoken billionaire added.

“And, you know, a lot of people don’t what to hear about it. They think it’s not politically correct to say whatever you want to say about it, but the problem exists so we have to talk about it.”

Carson raised eyebrows on Sunday by declaring that he would reject a Muslim presidential candidate.

“I would not advocate that we put a Muslim in charge of this nation,” he said on NBC’s “Meet the Press.” I absolutely would not agree with that.”

Trump argued on Monday evening that the electoral process ensures that any presidential candidate would govern the country fairly without practicing extreme policy stances.

“The proper people, properly vetted, going through an election, I think that anybody that is able to win an election will be absolutely fine,” he said.

The New York business mogul then charged that Carson is correct in stating that terrorists often have radical interpretations of Islam.

“I think a lot of people see it and they see what’s happening and they turn on their television every night and they see all the tremendous damage and destruction that’s being caused, and they, you know, hear about ISIS and they figure ISIS is not exactly located in the middle of Sweden,” Trump said, referencing the terrorist group Islamic State in Iraq and Syria.

“It’s a big problem,” he added. “And it’s a big problem that has to be solved and it has to be solved quickly.”