It's also worth pointing out that as moderator you can punt any c**ts who only come to your streams to complain, troll, harass or otherwise cause trouble. I have exactly zero patience for hostile parties on my own streams. I'm all too happy to help exit people who have trouble finding the door on their own.
As owner there's absolutely no reason for you to suffer fools. They don't like your stream? That's their problem, not yours, and the second they try to make it yours you owe it to both of you to permanently purge their presence with extreme prejudice.