To give someone a better idea who Jordan Peterson is and his experience with those in mass media: https://blogs.spectator.co.uk/2018/01/watch-cathy-newmans-ca... I knew of Peterson but never read his work nor heard him speak. This interview could be an important piece for university level discussion. I think it summarizes problems among the media and intellectuals like Peterson.
And, wow, I just watched this and it is horrendously cringeworthy. Seems like the presenter was expecting someone soft in the head (like an MP/politician), and approached the interview in that modern British fashion, which didn't work out well at all. It's really awkward to see somebody be that badly intellectually outclassed, but then it was Channel 4...
On the other hand, coming back to OP, there's something encouraging about a critical thinker having "star appeal". I think that's the best way to describe Dr Peterson, as you don't have to agree with him, but it is easy to follow his lucid trains-of-thought, and he is at least consistent.