edit: Wanted to leave it at that, but I should really clarify. I'm equating a group choosing the US constitution as their founding document with a group choosing Sharia law for the same purpose. If a person says they believe in democracy but doesn't believe in other people's right to make what looks like obviously bad decisions, they don't really believe in democracy.
Did you just equate "following the US constitution" to "following Sharia law"?