don't know if i'd label rogan as alt right but he's seemingly bought into the weird anti-essjaydubya thing that's pervading youtube.... brings dudes on that are loser contrarian lames and barely challenges them, or brings on total heath kooks and just lets them babble endlessly without pause.. plus he's a terrible interviewer in general, his only real appeal is the length of the show and the casual chill hangout vibe.
also letting ted nugent freewheel is a horrible mistake. dude is human shit.
Rogan is somewhat questionable, but he does challenge his guests way more than Dave Rubin, for example, who Rogan embarrassed himself when he had him on. He pushed back on Candy Owens nonsense too with climate change. Then he'll invite Leah Remini and Louis Theroux and do a full segment delving deep into the horrors of Scientology. Another time the father of the main Scientology guy asked to be on the show and the entire show Joe kind of gave him the sideye because he suspected that he's an opportunist.He also pushed back on Neil deGrasse Tyson on the moon landing.

I can't stomach watching his show more than a few clips/interviews here and there, but he's a contrasting mix contradictory views.
He's part dumb meathead, part ancient aliens shroom tripping hippy/conspiracy nut. Ultimately he just tries to make his show entertaining and profitable I and goes where the money/views are. And if the money and views are with people like daddy p and Alex Jones he's unscrupulous enough to keep inviting them.