If all Muslims believed in Islamic Law why do they behave differently then? Surely they should all just live in those countries where their behaviours matched their beliefs rather than in countries where they have to behave differently, and according to the laws and cultures of these countries. Or are they just hypocrites?
As to our Western freedoms, well such have been built over a long period of time and are progressing rather than receding - at least in the many countries where the right-wing and/or religious don't tend to dominate. Whatever our views as to differences between peoples, the more tolerant attitude will tend to win out over dogmatic belief systems - such as yours - and having lived for over seventy years (in the UK), the changes I have seen have been for the betterment of humans and societies - despite the many deficits of having such freedoms.
If you think that Islam will one day dominate, one has to wonder if so many in the rich Arab states are setting the best example. They seem to be behaving as much like the Western wealthy, and more inclined to worldly wealth than heavenly wealth.