Maybe...
Three minute match separated into four quarters of 45 seconds each:
Q1 = 45 second hybrid - longer-than-normal time to allow use of sluggish Kinect - robots from both alliances are allowed access to central third of playing field to capture (and never give up) open-topped
drums of their alliance color and to gather red/yellow/blue
balls
Q2 = 45 second period where only the red alliance is allowed to enter all three playing zones to gather balls. Blue robots may not change zones but may play defence and protect their drums. Robots employ RYB color sensor to sort balls. Only balls matching your alliance color in drums of your alliance color at the end of the match count toward your alliance's score - yellow balls represent contamination and reduce score.
Q3 = 45 second period where only blue alliance is allowed to enter all three playing zones to gather red/yellow/blue balls. Red robots may not change zones.
Q4 = 45 second endgame - robots from both alliances are free to roam the entire field. Alliances decide to have their robots hold their drums secure or leave the drums behind to climb the podium steps at mid-field. Max coopertition points if all six robots end up on the podium at 3 minute mark.
Either that or a tug of war.