As a Muslim, I don't want to see people praying on the roads and streets of Paris. I didn't want to see people chanting "From the river to the sea" for Gazans (who have a very strong reason for being despised by the rest of the Middle East). I don't want to see Muharram processions in Barcelona either.
Fun fact, the Middle East has one of the most relaxed migration policies across the world, yet a lot of European migrants are actually unable to migrate because they are criminals back home (the first condition to obtaining a residence visa is a police clearance).
Indigenous Muslims that you had mentioned are my absolute favorite kind of people, that I've eschewed the rest. The rest could actually learn a thing or two from them (but of course they won't).