You might be better suited to a non-Vampire genre, then, because PvP - even nonlethal PvP - is so thoroughly integrated into the vampiric culture and setting that to do away with it entirely is a disservice to the venue. And even nonlethal PvP is hard to pull off, since the Beast can take it out of your hands entirely. It's like making lemonade and leaving the sweetener/sugar out...you can do it, but you've deliberately removed one of its key ingredients and ending up with something lesser than it was meant to be.
-Werewolf can be an odd taste to swallow, but it's very much the polar opposite of Vampire - you might squabble and fight for dominance within your pack, but when it's crunch time, you're a unified team who would all die before they let a packmate down. Just try not to take the Captain Planet villains seriously.
-Mages spend a lot of time arguing with each other over who is more right and whose paradigm is clearly superior, but when the Technocracy comes knocking, everyone's on the same side against the real enemy.
-I know nothing about Old Changeling, Wraith, Demon, or Mummy.