No they don't.
We should purge this scourge from the face of the Earth.
Do I have your attention yet?
OK, well I don't really think that, but that is what they would do to the rest of us if they had the keys to the Kingdom!
You do realize that don't you?
That certainly got my attention.
And yes, most Muslims are devoid of good will towards non-Muslims, and Muslims of other sects, and Muslims of their own sect who are female, and male Muslims of their own sect who are younger than they are, and male Muslims of their own sect their own age who are of a lower economic class then they are and...well, you get the message.
But still, prohibiting them from building a mosque won't accomplish anything useful.