Simon, do you know any actual Muslims? I mean, really know, not just as casual acquaintances. If you don't you should get to know some, maybe invite a few round to dinner? You might have a good time.
I have a muslim friend I have known for years he was MOC at my wedding. He is great company and fits in with our group well.
This muslim friend also has very illiberal views as do most muslims he believes Saudi Arabia is doing Gods work by chopping hands and feet off, execution by beheading for apostasy etc. I believe it is logical that when a muslim crosses a border into a western country their opinions don't necessarily change. We know what muslims think by the extensive research in the muslim world and in the west.
Laika I'm sure you know these facts while one can be friendly with muslims we must accept the majority do have very illiberal views.