I have three more articles on Peterson coming out in the next week or two, and one of them goes into his motivations or into the origin of his ideas. I think a key factor here is that he's a dilettante: he's a psychologist venturing into philosophical, theological, and historical territories. He's a self-proclaimed know-it-all who doesn't actually know so much about many of these topics, including Marxism and postmodernism. So some of his confusions are rooted in his scientism. But I explain this further in the upcoming article.
I agree, though, that he seems self-conflicted. Perhaps everyone is, to some extent. But he's an extreme case, and his conflicts are playing out on the public stage.