He didn't say it was a Radio Shack Car!! Even so what a waste.
A better way to fix it:
Take a large Hammer and SMASH the Plastic piece with the Broken Screw to pieces. This will most definately get the screw out. Then throw the rest of the Car away. (You DID want the Screw Right?!?)
BTW, Could you give me your address and what day the trash goes out.
Try the Tip of some Wire cutters. OR Drill the Head of the screw off to seperate the pieces then use Pliers to unscrew the body of the screw left in the chassis.