A big tent is best approach to winning elections. You should never eliminate swaths of voters. Widen your path to victory, and do not narrow it down by bunch of litmus tests. To victors in elections goes all the power, losers have nothing. Just ask McCain & Dole how many federal judges they have nominated.
There are a few good Muslims in world such as king of Jordan, the general who is ruling Egypt, and some middle-east countries which allow US unfettered access to establish military bases to counter Russia taking over complete control there.