How does most Islamic integrate to western cultures?

Not. They segregate themselves and demand inclusion.

I was in France last year, my wife caught one with his hand inside her purse.

My guess they are like most black is US: they feel entitled to something but they hate to be there and in need...

Yes some do integrate to an extent. But they're always going to be foreigners, 10 generations from now, they won't be, "one of us." There is just too big a gulf between civilized Westerners and those people.

Our social, cultural and political systems are almost completely derived from the teachings of Jesus Christ. I don't care if you believe he never even existed. the fact is, Western Civilization is, for all intents and purposes, Christianity. No muslim, Hindu, Buddhist, any other religion will ever be a fully integrated part of our society. It's oil and water, the two will never fully mix.

most i know in US are fully integrated and believe in freedom and the constitution as much as the rest of us

but i don't know them that well