Hell, let's just get rid of those "nanny state" laws that protect us from assault and battery. If you can't protect yourself, too bad. It's off to Canada with you! Whatever. I want civility. Bullies are not civil. They're jerks. If rules and law can be used to punish them, I see nothing wrong with it. They have their way: intimidation, etc, and civilized people have the law. There is nothing wrong with using it.
So, bullying is "intimidation", and should be outlawed. When your boss threatens you with losing your job if you don't perform, that's "intimidation", which equals "bullying", and should be outlawed in your Utopia: go to jail. You "intimidate" your children by threatening loss of privileges unless they behave properly: go to jail. You "intimidate" another driver by having a larger vehicle: go to jail. You "intimidate" an opponent on the court at the gym because you're three inches taller: go to jail.
At the risk of repeating myself, we already have laws against battery and assault. If you want to open up the can of worms of "intimidation", you are, by definition, a nanny-stater.