The organization, the Council on American-Islamic Relations, apparently thinks you are Constitutionally required to agree with Muslims. Maybe their spokesman could direct us to the section of the Constitution that requires this.
All Ben Carson said was that he would not support a Muslim for president unless he swore off Sharia law. What exactly is the problem here? All of us have kinds of people we would not want in the Oval Office. My list includes not only Muslims, but communists, members of ISIS, Wiccans, cannibals, people just released from sanitoriums, anyone who has ever donated to the ACLU, children under 7 years old, editors of the New York Times, Tom Cruise, anyone who watches "The View," and (the most dangerous of all) secular liberals.
Nihad Awad, the groups spokesperson for he group, talked as if Carson wanted to legally prohibit Muslims from holding the nation's highest office. But that's not what Carson said. He said he would not support it.