You will increasingly be interacting with theocratic Muslim communities in the future, especially if there is a collapse of some kind. In the cities most people already know this.
Because you will need to be able to both recognize danger from those communities and at times work with them it is important that you have a clear understanding of Muslim behavior that is not colored by liberal sentimentality. Bill Warner, author of The Political Traditions of Islam and The Simple Koran put together this brief overview of Sharia law and how it is practiced by Muslims. Read it and use it as a reference for your interactions with Muslims.
One caveat I will put forward is that more than understanding or tolerance Islam respects strength so even f you can accommodate Sharia avoid making concessions where possible to show that you are not weak: