Of course the biggest problem is this: Since the eleventh century, a consensus has existed among Islamic scholars that the Gates of Ijtihad (or interpretation) are closed. Calling for new interpretations is tantamount to rejecting centuries of Islamic tradition. Appealing to reason also fails as Islam rejects that, as well.
There seems to be a lot of that going on.
RE: appealing to reason fails, as Muslims reject that as well
Nevertheless, the true God is the Logos; reason itself. Somewhere in the fog of their minds, God is there, after all. Christians must assail the Gates of Hell with reason and logic, as well as with Love. Why are we not questioning the illogic of violence against God’s people? If they had truth, why does it set them against one another? Why husbands beating their wives and an epidemic of raping and honor killing and ethnic violence on and on? How can they suggest a worldwide totalitarian rule of Islam would bring peace, when in fact, they fight one another constantly?