This could have potential, as it's pretty funny to see the car go on the side, or even roll around, but it's actually not making much difference in gameplay. It makes me think of over the top car chase in animated movies, but the car controls would need to be improved for this. Perhaps also make the car slightly less tall, so that you can more easily go between vehicles when on the side, but with a trade off ? (less control)
Also, the traffic is quite crazy from the start, and depending on random, the game experience can be quite different (most vehicles getting into each other without me doing anything, or not at all and me just in front of a wall of vehicles without much option)