I certainly don't want to be friends with somebody who might turn psycho/homicidal on me one day. So maybe your strategy would work in getting rid of the bullies, but it would probably drive away everybody else, too (people who might have become friends).

If you are physically assaulting your friends, then maybe they don't want you around to begin with.

This is a response to violence. If someone gets violent with you, become excessively violent with them.

So no longer eye-for-eye, but two eyes-for-eye? I'm not sure this strategy has worked out well in human history. Personally, I'm okay with violence as a last-resort disabling tactic, enough force to stop the aggressor and calm them down, nothing more, then you can proceed with reason.