Is it okay if I don't tip my waitress?
Why aren't you going to tip?
She was being so rude to me, she messed up my order, and brought me a drink that tasted like plastic.
I think it's fine that you don't tip your waitress because she didn't treat you well and messed up your order. If someone gives you terrible service then not tipping is acceptable.
I'm going to get a whole table of people to do it too.
It's reasonable that you aren't going to tip because you weren't satisfied with how she treated you, but I don't think it's necessary to convince others as well. They may have received better service, and think she deserves a tip.