Much has been written about the failure of Muslim immigrants to integrate in Europe. A lot of it has to do with the Muslim culture, the failure on the part of the immigrants themselves to want to integrate into the general culture. But that is only a part of the general issue of immigration and integration.
What people don't realize is that no matter how much both sides would try their hardest to make it work, the chances are likely massive immigration would fail. When both sides don't want it to work, it is doomed from the start.
I once saw an article asking "how would the US react if a French community came over, and opened their own French gaming centers all over" etc. But the question is even simpler.. how would a US community react if a French community came over?
Immigration to Israel has always been a special case. Many Jewish immigrants to Israel feel that they're coming back to their homeland. The native population, for its part, is interested in them coming and goes out of their way to help the new immigrants, welcoming them back home.
A small village in Israel has in the past few years accepted dozens of Jewish-French families. Immigration to Israel from France has been picking up the past few years due to rising anti-semitism and Muslimization of France. In this case, the village community wanted to help out the immigrants. Each French family was supplied with two "adoptive" Israeli families and the community extended as much help as they could offer. The French, on their part, wanted to integrate into the general community. There was no issue of "they came to take our jobs" or any of the social issues plaguing Europe. It was simply two groups, who share a lot in common but have a different culture and language, who wanted to get along with each other and put in the effort to do so.
However, overall, the 'experiment' failed. The village was overwhelmed by the French, and the French had a hard time integrating when they had so many French neighbors around them. Some of the French left for other parts of Israel while the native villagers were left with a bitter feeling.
This might be a special case. It might have to do with the people involved. But I think it's really a matter of numbers. Massive immigration is hard for both sides. Israel managed to somehow do it throughout its history, but when it comes to Europe - when there is no goodwill on either side, what are the chances it would work?