I think the focus in Islam itself is misleading. The Ottoman empire was muslim for hundreds of years yet christians and muslims did not fight against each other on religious grounds, and there was definitely no such fringe fanaticism. My grandmother remembered that people were sad when muslims had to leave the balkans due to national population exchanges back in the beginning of the last century.
The terrorists you see today would become terrorists in the name of Christ just as well. Having said that, it's true that certain groups can be identified as "bad" and labeled so, and it seems that the one unifying characteristic is their islamic faith, although there are other national characteristics as well. Saying that we need to defend against "Islam" would be too broad a target, and the terrorists use that to their advantage. In Europe, we need to stop treating muslim populations as minorities, start treating them as european citizens, and demand that their religious leaders contribute to public safety. They need to actively engage in the expulsion of radicalized people from their religious communities and preach against the sentiment that justifies the attacks. Laisez-faire comes at a price to everyone, and muslims are not excluded from it.The terrorists have been bastardizing the meaning of Islam for 4-5 decades now. Maybe Islam should be having it's own velvet revolution.