I agree with what has been said a few times, that an idea along these lines might be cool for non-FIRST purposes. But for FIRST, I think it invests too much weight, spaces, motors, and compelxity (especially for either the driver and/or programming). Secondly, it would do as Madison suggested, and perform similar to a holonomic system (which could be beneficial in other ways).
There are other ways that your desired arc could be achived. The mecanum suggestion earlier is one.
Another could be a standard holonomic drive.

By moving the wheels as such (with the "NW" and "SE" wheels driving at different rates) you can acheived the desired arc motion.