Serious question. Are you actually afraid of this happening?
Seriously, it depends. There is a good chance Islam is going to take root in Europe. And in thirty/forty years, I think we start looking at serious problems in France where the Muslim population will start outnumbering the Catholics. I have family in Great Britain, and I seriously think with the dwindling numbers of "natural-born" British, Islam will have a much louder voice. And those voices are primarily male.
I think its unlikely that America will be taken over by Islam, but with Canada seriously thinking about Sharia in certain Muslim areas, that's not exactly the Middle East. we will see a rise in the Muslim population. Don't know what that means, but you can see what's happening in Lebanon which was a melting pot until Hezboallah decided to shake things up even further. lebanon was not perfect, but it was in much better shape in 1960 than in 1980.