It would depend, but since such a large subset (2-15%, based on the estimations of the author of "Jihad in America") of Muslims in the US subscribe to radical beliefs, one has to be prudent and cautious in assessing a Muslim candidate. In contrast what subset of Mormons subscribe to radical beliefs? Statistically near zero, and none of their religious texts advocate violent and repressive radicalism.
Huge difference, so frankly comparing the two is somewhat silly.
You're the one who set up the standard of not spitting on a group with similar political tenets in some areas. Both LDS (variety of issues) and Muslims (abortion and homosexuality) apply. First you say we should compare and contrast groups like the LDS (to our own conservative beliefs). Now you say this contrast and comparison game is silly. Which is it?