The only way Islam can dominate is if the native populations let it. Europe is doing a good job of it, by letting the hordes in by the millions and having way below native birth replacement rates. Political correctness, "white guilt", affirmative action, lax immigration policies, heavy tax burdens paid by those who contribute to society, and other modern liberal ideologies that institute a foundation of Europeans being ashamed of themselves as a people and their history are largely at fault. When Islam comes to dominate this region(and it will in our lifetimes), things that we took for granted for so long such as womens rights, gay rights, and overall freedom will be stamped and crushed under the Islamic bootheel.
Parts of SE Asia are Muslim-dominated, but China will never fall under it. The "Communist in Name Only" more akin to German Fascism-style of government has too much control over its people to allow any religion to gain a prominent foothold. As for the Western Hemisphere, the Catholics, Atheists, and the wealthy who like their lifestyles would never allow itself to be dominated by Islam, outside of a few small enclaves.