It's not the same at all. Muslims can not recognize any other rule but Islamic rule. They can recognize a democracy like in Iraq that is based on Islamic principles but they are forbidden to take part in any other type of government unless they are in the process of conquering it.
We had the Rosenbergs and that idiot now in jail for spying for Israel (can't remember his name) with the Jews. We had the draft riots last century with the Irish/Catholics.
The deal is very simple: this is America -- pray however you like, raise a family, start a business, complain about whoever happens to be in political office, hey, knock yourself out. However, betray the trust of the nation and you'll become a guest at one of our fine penal institutions.
Personally, I think this is a pretty good deal.