Carson has said he would require any Muslim candidate for the presidency to address the question of sharia and explicitly renounce any belief in it. After such repudiation Carson would be quite willing to support a Muslim candidate. I suspect that most Americans, once made aware of the foregoing facts, would feel that way, including many Muslims.
Because they come from our heads (intellect) rather than our hearts, perhaps all words referring to God do nothing but get in the way, building a sense of separation from It. Perhaps Divinity lives so fully in our hearts as a feeling that the minute we name or label It something we automatically limit our experience of It by drawing boundaries around It.