Dance or mayhem, how would you referee?

You have a party 65% tweens and young teens and 35% older teens. 50% of the older teen boys want music you can slow dance to (one can wonder why), they get about 30% of the tween boys to align with them. Most of the tween teen girls and a small number of the older teen girls want music to dance like this, and that and most of the younger teen guys want music you can pop and break to. No group wants to give quarter to the point fist almost start flying. What solution would you come up with? No music, no dancing? No booty shaking dancing and a compromise on the slow and the pop locking? Just back out of it and tell them to figure it out but if any punch is thrown, party over?