That's a good question. I'm going to also link something Crazy said in the other Hamas thread, because it's relevant here:
Most of you should know by now that I'm generally not hostile to religion. However, I honestly don't believe that women are - for lack of a better term - desecrated like that without some sort of belief system that is both 1) inherently patriarchal and 2) personally oppressive. That is to say, I think you need a group of men who are trained to hate themselves for their natural desires and feelings, to transfer that hatred to women, and to accept that such a transfer is okay because women are inferior, in order to get that kind of atrocity. It's a fair question whether such a belief system is worth preserving (I'd say no), and it's also a fair question whether or not it's even worth leaving alone, i.e., whether we might be morally obligated to oppose it (a much tougher question).
The problem I have is that I am absolutely sure that there is such a thing as moderate Islam, because I know there are moderate Muslims, and as a religious system reflects the people who believe it, moderate people will espouse a moderate religion. So I absolutely think we should try to stamp out radicalism without stamping out faith. But I'm not sure we can, not because non-jihadi Islam is impossible, but because I'm not sure such surgical precision in the realm of social engineering is possible.