It's nice on the surface (who likes "hate"?) but I think it causes too much self-censorship and a weakened society in the long term.
Because some asshole Austrian speechified a country into burning down half of Europe and killing millions of Jews, and after a whole ass world war the Western world - the parts that actually had to rebuild their societies from the ashes, not the US, for whom the war and Nazism in particular were more business opportunities than anything - decided that even free speech needed to have limits.
edit: of course the US has limits on free speech as well, just not for "hate speech" per se.
I mean go look up any of George Carlin's old bits on political correctness and they would fit in perfectly in a modern day context, despite being made before the WWW was so much as a gleam in Tim Berners' Lee's eye. You'd just have to update the technological referents.
Things you can not influence, things you can not change, things that do not harm others.
The intolerance towards intolerant is necessary for that to happen, which explains the battle.
People censoring themselves to not be hateful might honestly be a good thing, maybe they should figure out where those thoughts come from and if they should reconsider them. I would advocate for them to get help, therapy, social support, whatever they struggle with. I think being caring and empathetic strengthens society in the short and long term.