Honestly, the three faction PvP is great and works way better than I would have guessed, give it a try.

Pretty soon, you'll come around 180 degrees and the worst thing will be when other teams don't get what it means for strategy. I.e. 2nd and 3rd place should generally attack a 1st place team if they have a significant lead. It sucks when 2nd beats down on 3rd, etc. And it's fun when 2nd or 3rd manage to do that and also find a way to make a move that puts them in 1st, like backing off a 2v1 fight at 1st's home node to go get objectives while the other two duke it out.