Forged in the Dark implies team play, is my expectation. Have they tweaked it to bind the PCs together with the team/group/gang rules while still plotting against each other? That sounds like a nice twist. It's the sort of thing that Monsterhearts needs to stop PCs going bananas on each other in the first session (not that I would ever have played in our run any games like that, naturally).
I’ll let you know when I read it. I think this is more like you being a group from one of the houses operating against others.
If you want the PVP version, the Sword, the Crown and the Unspeakable Power (SCUP) is the way to go and excellent.