Lol. I know exactly what you mean. Keep out of it, keep quiet, and enjoy the fight.
I admit though, that the only time I saw a girlfriend of mine in a fight, I did break it up. But that was because she was losing, and I started feeling guilty because I'd helped instigate the fight.
As for trying to stop females from pulling hair or fighting on the ground, that seems to be pointless as well as stupid. Unless they're trained boxers, 99% of women will pull hair when they fight, and they will also try and take it to the ground so they can use their legs. Trying to make them fight without pulling hair is like trying to make dogs fight without biting each other. It's just not going to happen!
So either leave them alone to fight the way they want to fight, or just break it up altogether, there's no in-between.