This actually inspired my curiosity, so I went and had a look at my local area's demographics:
40% Christian
20% Atheist
20% Muslim
8% Hindu
12% Other
Perhaps it is a social status thing. It is a working class area, though becoming regrettably gentrified.
Nevertheless, I've never encountered a Muslim who 'want the world taken over'. Most are of the live and live kind, and the ones I'm actually close to are of the diehard liberal variety, but again they're all of the younger generation.
Having spoken to these people, particularly the younger ones, they are breaking away from the fundamentalism you find in the Middle East. I suspect is largely due to an increased awareness of other cultures, which was obviously not present in the country town I grew up in.
Whether you are correct and Islam inherently breeds wickedness, or I am correct and it's just a case of predominantly Islamic countries having a disagreeable culture, the solution seems the same to me. Every Muslim I have spoken to has become more liberal, and accepting, and kind through exposure to other cultures; and the people from the countryside were worse off for not having had that same exposure. This would suggest better integration and multiculturalism is the answer, no?
I agree that it will be tough for a while, perhaps a few more generations, but I think it's worth it. If you don't, then fair enough, but every experience I have ever had tells me that multiculturalism makes people better, kinder, and more accepting, and isolation makes them worse and more fearful of the other.