Peterson is a hypocrite on this point and always has been. He's the first to point out the ridiculousness of some of the post-modernist literature. But on the question of god he goes full post-modernist himself with a barrage of word salad and vague non-committal statements. When he's pushed he will never say he believes in the core tenants of Christianity, he just likes the aesthetics/history of it.
He also completely straw mans atheism by mostly only citing Dostoevsky, as if that's the be all and end all. Never once have I heard him mention Bertrand Russell, Thomas Paine, Voltaire, or any other enlightenment thinker. He takes his view from a fiction novel and parades that around as if it's the most important take on the topic.