Huh, that's strange. I didn't think that the physics would have any adverse reaction to that.
Unfortunately there's no way to disable the physics(I don't know why, considering all the other behaviors have that option. Probably something to do with Box2D), but I managed to fix it by saving the X velocity, Y velocity, angular velocity, angle, X and Y positions of the car, and the angular velocities of the wheels everytime it goes off the side, then it will destroy those, create new ones, reestablish the hinges, set the angle, the Y position, the new X position, and then finally restoring all of the motion. Here's the modified CAP in case that wasn't explained very well: Modified driving CAP
By the way, nice graphics you have there.