Yes but that's been done so many times before. Plus it would just make them all look like they have a low IQ if they hate each-other.
We almost died to basically Sithis incarnate & it's coming back to mess us up again & we'll probably loose. So let's focus on killing each-other! :D
Uhh no, however it would make a tad more sense with different factions New Monarchy thinks Future War Cult is a bunch of weirdo's & say we must rule ourselves which would explain PVP or PVP is basically a kind of gladiator thing that Guardian's do to test themselves.