Oversimplified? Yeah, somewhat.
But I do want to push back a little bit: we have evidence of previous religious wars, from the Revolt of the Faithful to the Andal Invasion to the Blackwood Rebellion against the Teagues. And arguably the idea of the “Old Gods and the New” is a form of syncretism.
And in the wake of the Sparrow Movement, can we really call them toothless?