It will require only one strike against the Homeland with massive casualties such as could be caused by a variety of weapons, not excluding viruses, to give voice to a chorus of leftists and, later, "moderates," who will call for recognition, negotiation, and accomodation with such a powerful international force.
Then is your Democracy over and done.
Or, more likely, given the mood of the nation on this issue, the declaration that islam is inconsistant with human life, and is stripped of its status as a "religion". It is then banned, expelled, forbidden, and deported. Convert or leave. You have one year.
The idea that you can grant the protection of "religion" to anything as savage as Islam has to be discredited. Sadly, it will probably take something massive to do this.
Sooner or later either islam changes, or islam disappears.