I just see him as a popularizer of history whose main skill is his use of counterintuitive but clarifying examples.
We may also be thinking differently about "neoliberalism." Its core meaning, I take it, is that we should trust the market alone to solve more and more social problems. I've watched a number of Harari's speeches, and I don't recall him sounding like a neoliberal or libertarian in that sense. To be sure, his popularity vaulted him into elite circles which are themselves neoliberal. But I'm not aware of him advocating for naïve faith in deregulation.
He's not politically correct, though, in that he wrote a more balanced view of imperialism. He said empires were both good and bad: they had enormous historical impacts which inevitably helped and harmed humanity in different ways.