Going back to your toy car on its conveyor, with your hand stopping it moving backwards. What ever speed the conveyor now does, you will still only need the same amount of force to hold the car still, any extra force you apply must have a reaction ie. forwards motion.
This is something I'm not 100% sure about. I thought, still think, that as the conveyor speed increased, the force needed to hold a wheeled vehicle still in this way would also increase. Apparently the value of the actual rolling resistance of a wheel/tyre does not increase with speed, but as speed increases more work is being done and more power dissipated.