Because public figures, celebrities and the rich have more rights than anyone else?
No, they have more access to publicity to the media than anyone else. Inconveniencing passengers is bad business ... inconveniencing passengers who can destroy you in the press is stupid business.
Delaying a flight for weather is an inconvenience, flying through a thunderstorm can get you killed.
Going out of business inconveniences passengers too. Raising ticket prices to account for no-shows inconveniences passengers too. Frankly, I do wish they'd all stop overbooking, but the financial aspects make it unlikely. In this case, it wasn't overbooking, just moving passengers around. On reflection, the cabin crew might have handled it better, but maybe they did and Coulter was just being an asshole about moving. Something like this:
"I own this fucking seat God dammit!!!! Get the fuck away from me you sky *****!!!!'
I don't know why Coulter was moved to another seat in the same row. I suspect it was to keep a family of three together, but that isn't confirmed. If she was moved to a middle seat, I'd be fucking pissed too, but I don't see if she was moved to an aisle or window seat. From the pix, I suspect it was an aisle seat across the aisle from her original seat. Again, unconfirmed.