This, of course, is the fundamental problem, and one that we stubbornly refuse to admit.
While Islam is polticial at its very essence and inseparable from that, I would disagree that muslims consider it to be "the perfect way of life and governance."
If that were true, then Islam wouldn't need fear and terror to keep its "adherents" rooted in Islam. If it were truly perfect, then all the freedom in the world should be extended to people to choose or reject it as they see fit.
The same exact things can be said about communism/socialism. Yet, clearly that's far from perfect and incredibly further from imperfection than capitalism.
The founding fathers here also had some foresight. They knew that the republic that they had created for self governance, could, and would only be viable if those entrusted with it remained moral and good in the way of Judeo-Christian [read Biblical] standards with some basis or foundation for what "good" actually is.
Islam embraces, as good, some of the same things that Judeo-Christian values consider to be evil. That is why Islam is also perfectly incompatible with the American way of life. The first conflicts and tests of that will come when there are large enough poltiical constituencies around the country for them to attempt to install Muslim rule, whether it be only local or municipal, or more.
I'll give one "for instance;" How on earth can a non-muslim get a fair trial in a court whereby the judge is a practicing muslim and given Islam's religeous culture whereby that judge must give preference to a muslim litigant.
Women are also considered to be of lower status. That's gonna be a real wakeup call for the lib women's groups when some abused woman gets sentenced harshly, or perhaps to death, after being raped or the like. Who knows what these kooks will come up with given their bass-ackwards set of morals.
Then again, in a country where some have no problem with a child rapist walking with only a 60 day sentence, ...