Would not support Muslim president

During an interview with Todd on Meet The Press, Carson says he would not support a Muslim being president.

Todd: Should your faith matter to voters.
Carson: I guess it depends on what that faith is. If that faith is inconsistent with the values and principles of America then of course it should matter. But if it fits within the realm of America and is consistent with the constitution, then no problem.
Todd: So do you believe that Islam is consistent with the Constitution?
Carson: No I do not. I would not advocate that we put a Muslim in charge of this nation. I absolutely would not agree with that.
Todd: Would you ever consider voting for a Muslim for Congress?
Carson: Congress is a different story, but it depends on who that Muslim is and what their policies are.

https://www.youtube.com/watch?t=3&v=D8Froer0s9c