Would the moderation or decline of Islam in the Middle East diminish or even eradicate terrorism?

I'm not saying that Islam is responsible for terrorism. What I'm saying is that the prevalence of extreme, uncompromising forms of it are. While there will always be dangerous extremists resulting from any religion (or belief system for that matter), I think there are a particularly large amount coming from certain Middle Eastern countries because extreme forms of Islam are more socially acceptable there than extreme versions of the prevailing religion are in other parts of the world.