I wish I shared your confidence, friend.
It's not that Mohammedans are powerful, but that they are so numerous. And this is due, as you are certainly aware, to their rejection—and “our” eager embrace of—contraception. The math is simply in their favor. And once we're outnumbered, there's precious little we can do about it.
Moslems take to contraception as soon as they get a little prosperity and modern technology. Iran’s birthrate in 2015 was 1.65. Spain’s was 1.32, and that includes the quite numerous Moslem population of Spain.
Don’t worry. I’ve read the end of the book and spoiler alert....we win.