Story highlights House Speaker Paul Ryan criticized his party's front-runner presidential candidate Donald Trump

Trump has called for a ban of Muslims entering the United States

Washington (CNN) The chairman of the Republican Party, the Republican House speaker and the top Senate Republican on Tuesday condemned GOP presidential front-runner Donald Trump's call to ban all Muslims from entering the United States.

House Speaker Paul Ryan said at a press conference that Trump's comments are "not who we are as a party" and violate the Constitution.

"This is not conservatism," the Wisconsin representative said, adding, "Some of our best and biggest allies in this struggle and fight against radical Islam terror are Muslims."

Senate Majority Leader Mitch McConnell said such a ban would be "completely inconsistent with American values."

"(And) to show how completely and totally unworkable it would be, King Abdullah of Jordan, a great friend and ally of ours, would presumably not be able to come to the United States," McConnell said. "How about President Ghani of Afghanistan, a great friend and ally of ours who would not be able to come to the United States. This suggestion is completely and totally inconsistent with American values."

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