How do 2 pive aggressive people get along?

My friend and I are both p.a. BAD. We don't speak directly to each other at all to avoid any potential conflict. We email each other only. We are constantly trying to one up each other to be in control. I know that one of us should stop it. But how if that's just how we are? I would try but it freaks me out and makes me feel inferior (helloooo p.a!!) I'm very outgoing and he's introverted b/c of this. so any help would be appreciated! (and we are just friends btw.. totally platonic)