This is very evident in the styles people do interviews. For example, Bill O'Reilly is loud, calls names etc when his guests disagree with him - to the point that some of his conversations end up being loud shouting matches and the only thing left to do (as a viewer) is to turn it off. Jon Stewart on the other hand - he disagrees with his guests in a kind, calm and funny manner - it is interesting to watch him and his guests go back and forth on ideas. I'm guessing that attitude probably spills into other areas of their lives too
Unfortunately some claim [1] that if Jon Stewart really disagrees with you, he has no qualms against using editing tricks and false pretenses to make you look foolish and stupid.
That's very interesting (and I will never go on the daily show now if I disagree with them), but I am not sure that it applies here. The parent was discussing the interviews that Jon Stewart performs himself in the interview part of the show. Often when there is a serious ideological difference there they publish a long-form interview(20 minutes) which is clearly the whole interview.
The piece you link to seems to be more about the field pieces which are not what was being discussed, and not what the parent was comparing O'Reilly's interviews to.
Both are propaganda programs and it's all about which audience they're pandering to. Stewart's audience is attracted to pretension and smugness, a "holier and smarter than thou" perspective, and O' Reilly's audience is attracted to people getting what's perceived to be their comeuppance. Both programs exist for the same purpose -- to reinforce the political beliefs of the people that run them. It's much less profitable to be moderate and fair.
Isn't O'Riley trying to rile up his target audience by getting his guest worked up though? If he makes the guest look unruly, even by becoming unruly himself, he can blame the guest and make the guest look bad. It's the attraction to the show.
I don't watch O'Riley, but that's my perception from reading about things he's done/said.
Example: https://www.youtube.com/watch?v=URHPD6AJ5Fg&t=2m (Bill ends up calling his guest a fascist)