Obviously there's only one specific religion tied to terrorism. Sadly, you can't promote a "peaceful version", because it means you contradict the authorities of the religion, and to do so is what we in the west call "heresy" and the punishment, is well.. You can guess.
The problem you have is that you're facing a system, that is not "a religion". Western societies are compartmentalized. We have politics, economics, religion, philosophy, culture, art, and so on. We don't believe in religious people dictating political things, nor the other way around. But, that's not the case. It is a "whole" ideology, which includes politics, economics, religion, culture, art, and many other things, encompassing every aspect of your life, all dictated to by authorities who cannot be questioned, for doing so is heresy.
You cannot address the religious beliefs alone, because every detail of life is dictated, which includes politics and culture.
I am a political conservative. I am a Christian. I am a capitalist. These three have minimal overlap. I do not believe in dictating my religious beliefs on anyone, but you're facing a system that not only has religious beliefs, but makes every facet of your life a matter of religious edict - by self appointed religious authorities, which have the authority to control your economy, political system, culture, and most details of your life.
How then, can you promote a "different religion" without being in opposition to the whole?