No, you are mistaken. What is 'left leaning' in the United States would already be considered considerably right-of-center in most of the developed world, besides that, there is plenty of right leaning content out there. What has happened is that a bunch of companies decided to stop supporting some of the more batshit crazy outlets on the extreme rightwing part of the spectrum. But that doesn't mean you won't be able to read the Wall Street Journal, The American Spectator or a ton of other right leaning publications.
It's just going to be a little harder to organize the next insurrection or to spread outright lies. But that's fine.
Framing this as anything to do with censorship is very clever, but it really isn't. For many reasons.
Instead I would say that there's some hot button topics like immigration, racism, climate change, discrimination of all kinds, etc and there's a faction which is for more immigration, aggressively and militantly fighting racism and climate change, etc and several factions which don't agree with the above to different extents. The positions of the pro faction have become the default in mass media, to the point that the media is educating and shaping opinions more than reporting facts. Members of the against factions are typically portrayed as wicked and associated with negative labels such as nazi, right-wing (has become a slur), racist, sexist, etc and silenced or forced to grovel in order to not lose their jobs/reputation/standing, etc.
This is by the way not localized to the US, instead it's visible in several (if not all) Western European countries.
Again, I understand that the crux of your argument is that this discourse (that of the "crazy right wing,") is solely the fermenting ground of lies; however, I find that very difficult to believe, personally, and I believe that--while any side may develop misconceptions--exposure to these allows you to better explore your own beliefs in the face of adversity.
What is crazy is a relative concept--to be cliched, homosexuality was considered a mental illness until fairly recently.
It's a very optimistic view and it's certainly how things are often framed. What I've seen over the past few years though, is a very efficient filtering of the internet of almost all content that isn't left learning from all major forums and a shutting down of those that could not be filtered.
Framing this as an anti mis/disinformation campaign is very clever, sometimes pointing at flagrant examples while actually censoring widely.