That is really well done. The only thing that gives it away (to my ears at least) is it's missing the trademark stutter/repeating words.
(Not hating on Rogan, just listen to any real clip and you'll see what I mean, e.g. https://www.youtube.com/watch?v=VvswhogSiY0)
EDIT: I listened longer and the AI actually is throwing in some "uhh"s and pauses. They don't sound completely naturally but it's still really impressive