I like to look at Canada in this respect. They have done arguably a very good job at integrating newcomers. The country has substantially increased its population in the last 40 years and yet I did not meet any individuals that did not think of themselves as 'Canadian' first. And that's in spite of cities like Toronto containing areas labeled little Italy or Chinatown.

Integration of the Muslim community at large in Western Europe is for reasonably large numbers of people a failure. Of course there are also plenty of people that did integrate and that will stand up to defend the values of the countries that they have adopted. But not at the level that Canada has managed to achieve.