I'd agree.   So called conflict between religions are generally founded on other differences.

Northern Ireland isn't about religious differences between Catholics and Protestants. Israel/Palestine isn't anything to do with the fact that one side is comprised of Jew and the other and the other of Muslims or Christians. The same goes for the Balkans. And in all these cases there are people in both hostile groups who have no religion or are in fact hostile to religion. "Are you a Catholic atheist or a Protestant atheist?"

And the same is true generally where a regime has persecuted religion as such - typically because it is seen as a focus for political opposition.