Good lord.
The closest I can come to that kind of power-to-weight ratio (and still have 4 wheels) is a car I've seen: 1965 Corvair Monza with a 525-cubic-inch Cadillac Eldorado (1970, FWD) drivetrain mounted midships, with the steering rack welded straight ahead.
It was alot like those acceleration-testing machines that were essentially a chair with a rocket motor strapped to the back. All that weight near the rear wheels gave it plenty of traction.