It's true that basketball requires a lot more lateral movement than running does. However, you do not need a cushioned shoe to make those moves. Cushioning has nothing to do with movement. You could very easily play barefoot and make those same moves, except that traction would be difficult on a glassy hardwood floor.
A near-barefoot shoe with a proper tread with plenty of traction should to do the trick, without any of the thick cushioning.
I've read the current Vibram shoe soles wear out quickly for sports like basketball; but, I believe they will be releasing new models soon with more robust treads for such activity.
Also, since the Vibram allows your toes to spread out freely, you have better balance and much less chance to roll your ankle.
And remember that all near-barefoot shoes are feather light, which means that your feet will move quicker and more precisely, with less chance of injury. Thick, cushioned shoes weight a lot more. Think about it - if I attached weights to the end of your baseball bat, do you think you could hit the ball as well?