Is this something you do actually experience in real life though?
Because I'm with you that social media is part of the problem. When I was using Twitter, many years ago, I also saw a lot of these super-woke people that I thought were just crazy.
But in real life, I don't see these caricatures so often (where they do exist, they tend to stick together in close-knit organisations and so are easy to avoid). Most women, gay and trans people, minorities etc. that I met just want to have some basic rights and don't care about culture wars about language use etc.
More impressionable people might hide stronger beliefs, like my mum, who is a reformer in the UK and parrots all their talking points and soundbites, but only down the pub with her like minded friends, or with me. Never to a labour supporter or in a public forum- so they almost never get challenged; and they become so deep rooted.