Facebook doesn't spread hatred, people spread hatred.
Sure, Facebook could crack down on the way people are using their service/their tool, but I don't think they are responsible for the actions of users.
What about:
- Broadband internet is spreading hatred
- Chrome Browser is spreading hatred
- ISPs are spreading hatred
(etc)
Don't blame a company, or the service they provide. A crackdown on Facebook will force the hating people to another tool or communication method. They'll probably move to a more encrypted method of communication, which will make finding the wrong-doings and the people much harder.
The only thing they could do is ask Facebook to cooperate and provide details to find the haters.