it looks to me like the muslims are just trying to start shit. of course the americans aren't going to appreciate muslim-architecture on the site of a muslim-attack, they know this. they get what they want when the americans protest, "look at us, we want to build a religious structure and they won't let us, we're oppressed."
realistically it should have nothing to do with the religious affiliation of the architecture and everything to do with where it's being built. unfortunately you get a problem that's right in the middle.