You fine folks might be interested in this Daniel Pipes article on moderate Muslims and supporting them versus the extremists and terrorists.
To sum it up for you, there is no such thing as a moderate Muslim. It would be like saying there is a moderate Christian.
The reality is that there are lapsed Muslims and those who have chosen not to follow the tenets of Islam. Likewise there are lapsed Christians and those who identify themselves as Christian but don't adhere to the tenets of Christianity...
Simple question... Would you call gay Bishop Gene Robinson a "moderate Christian"?
To say that there are moderate muslims would insinuate that there is a moderate "politically correct" form of Islam of which there isn't.