The Koran of Muhammad claims Islam's supremacy over the world in all of its affairs: Islam is a Complete Way of Life. This includes government, economics, religion, dietary laws, and social norms. Since Muslims believe the prophethood of Muhammad is universal, the objective of Islam is to have the entire world live in submission to Shari'a law.
Since you appear to value your freedoms, you need a reality check about these guys. They don't want you to have any.
I have seen it openly advocated and fought for in other nations, but so far I've seen no Islamic group in this nation calling for it here.
When they do, let me know.