Honestly getting the addresses of all the hate group headquarters in the area seems like a lot of work, and it also seems like it would be really hard work. You decide you're just going to sit at home and deface hate group websites from home. You can do that and eat a sandwich at the same time after all.
You're having a pretty good time doing this. You do some DDOS on their pages, hack into administrator accounts and send obscene messages to all their list members, dox them on Reddit, all that kind of stuff.
You're having a good chuckle and jerking off about it one afternoon a couple weeks later when your door's kicked in by a bunch of skinheads. They must have gotten your IP address somehow! They pretty much stomp you to death.
The End.