Crazy Muslims have been beaten for centuries, with ever venture. Just because they have a lot of children, so that they can use them as walking/flying bombs, doesn't mean that they're going to win.
Yes, Hitler and the Nazis lost. We had to defeat their armies before we could occupy their lands and impose "our system" on them.
The Muslims are by-passing the "defeat the armies" step as they first "occupy" our countries and then allow our own laws to "defeat our armies". Think about it before making an emotional response.
Yes. It's a cultural war. A war between civilizations of which our cultural institutions e.g. "multiculturalism" and various liberal bastions of "thinking" are ill equipped.