There are "moderate Muslims", at least in Southeast Asia, however, they are hiding, keeping their mouths shut out of fear. They watch their children being converted to violence and say or do nothing because they have seen others, who did speak up, killed. The murders own Islam in large measure. They own it because they are willing to go to any extreme as so many incidents have shown. In Southern Thailand, about a third of those killed were "moderate Muslims".
Which is precislely their plan for the entire world...then to control the writing of history as make future generations believe there never was any god but Big AL.