Complex problems require complex solutions. Mass deportation, whether it is from here, or it is from Europe, is similar to doing brain surgery with a rusty scimitar. In my view, the major problem with Islam is that it has not had a modern reform movement to lead it out of the dark ages. Christians have gotten most of the way (although they still love to kill each other if the time is right) but Islam is still led by fundamentalists. Add to that problem the fact that Europeans and Israel have treated the Middle East like a playground, and have failed to recognize the long term impact of that colonialist approach; that being the radicalization of many Muslims. The west (and I include Israel in this) has tended to address this problem as a black and white problem, because we don't want to acknowledge OUR role in what has happened there. Instead, we are the good guys, Muslims are the bad guys, end of story.
I don't pretend to have the all the answers, but I can absolutely guarantee that mass deportation, callous disregard for Muslim civilians, and our utter lack of respect for the Islamic culture will only make things far worse than they are now. Yes a more subtle approach won't have the same visceral satisfaction for the ignorant, hateful right as 'wiping them off the face of the earth' but it is necessary if we ever hope to see a stable region.