Am I the only one expecting the OP to have created a new sport...
I too am disappoint. I was expecting some sort of jet powered hand ball where team mates fire at each other with paint ball guns or something. The first person to score and or not die is the winner.
Or Martial Arts Basketball. It's perfectly legal for you to fight and try to keep the other team occupied. Scoring is the only way to win, so while fighting is entertaining the team that wants to win is going to have to have the right skill and tactics to get a team mate to the other side and scoring.