[SuperJake]

It hasn't seemed to have been mentioned here, so I'll point it out.

You may wish to consider that especially on this playing surface, the orientation of the wheel doesn't really matter when it comes to putting on the breaks against a pushing robot. Any of the motors generally chosen for the drive train of a robot are more than capable of holding the wheels locked (not rotating) when pushed on this surface - the friction between the wheel and playing field is much less than the force required to overcome the stall torque of the motor. That said, the orientation of the wheel to the direction of undesired motion doesn't really matter.

Additionally once you are sliding, it will be very difficult to regain control of the robot by slamming on the gas in the direction you want to go. Your already sliding wheels would still have very little traction, so it would take a while to regain control of your robot.