Both of the major parties in the US have this issue. They're big tent parties, and the various factions often have conflicting values. It's probably true that,

Both of the major parties in the US have this issue. They're big tent parties, and the various factions often have conflicting values. It's probably true that, broadly speaking, Muslims tend to be more socially conservative than other Democrats. But then again, there was a similar issue with black voters and gay rights; black Democrats were less supportive than white Democrats, despite black people voting for Democrats far more than white people, on average.