The Conservative party did the same to me .... can't post on their FB page (5 years now), cause I failed to properly admire Scheer. I wasn't even particularly obstreperous, merely pointed out a couple of exaggerations in their claims. Still regularly see anti-Trudeau posts on the Liberal FB page, however and short of threatening physical harm, they don't seem to be taking them down.
Also, there's a subreddit that will only allow conservatives to post; no other viewpoints welcome. I haven't seen anything similar from the left, but there's a lot of subs, so it could well be there.
Point being that not wanting to hear any side but your own is not limited to any particular ideology.
As it happens, I like the center-right posters on this forum and don't particularly care for the extreme left-wing posters on the other forum. This preference for more moderate opinions dictate which posts I'm more likely to read, and which posts I'm more likely to skip.
(It's rather interesting that people claim all viewpoints should be welcome in all venues, because "bad ideas in the marketplace of ideas will be shouted down", but when a bad idea is shouted down, the speaker says "I'm being unfairly attacked and shut down; I'm entitled to be heard!")