One team that could do this very interestingly is the Cavs. They have several key components of the type of roster that could make this work:
1. Best outlet passer in the game - Kevin Love. He can throw the ball full court on an inbounds off a made basket.
2. Interior defender - Anderson Varejao. Would like better, but this kind of player defending the rim is key.
3. Excellent perimeter defenders who can get some steals in the passing lanes or sneaky blocks from behind - Lebron. Other excellent candidates in the NBA to fill this role would be Wade or Rondo or Josh Smith. I don't know enough about Waiters to say if he could do this and I don't think Kyrie could.
Of course the Cavs also have a good enough roster to dominate playing normal basketball, so no way they ever try this.
Ideal roster to do this with:
PG - Rondo
SG - Korver (cherry picker)
SF - Lebron/Josh Smith/Wade
PF - Love
C - Dwight Howard/Andre Drummond/Deandre Jordan