I am an administrator of a 1000 people group dedicated to political discussion in Facebook. I have been accused of being a Nazi and helping them. The people doing so were wrong, but they were convinced that I was doing that. My mother's family is Jewish.

Trust me, deciding what is hate speech is is impossible. And lots of people try to advance their agenda accusing others, trying to silence them. I have seen it a lot of times.

Regarding fake news, Facebook tried to suppress them. But they don't know how politics in my country work, so they leaned on another institution. The other institution is managed by the wife of a politician. I think you can guess the rest.