Of course, it's not as simple as just deporting the Muslims who are causing a ruckus. If any government tried pulling that stunt they'd be accused of discrimination and vilified the world over.
The uphill battle against the ignorance caused by religion is a battle of propaganda. With a little bit of education, you can plant the seeds of Western values into the Muslim youth, and once that takes place they'll learn to share your contempt for the backwards, repressive, moralfaggish aspects of their religion. Between seeing the glamour and joy of secular life and becoming too well educated to fall for the restrictive bullshit elements of their religion, they will reject extremism and by doing so they will destroy the religion from the inside. Naturally, this won't be easy, and it'll take a long time to see any results from it, but when the more direct options of dealing with them will get you called a racist (inb4 Islam is a religion not a race you tard), fighting a culture war is one of the few feasible solutions left.