I agree about the flywheel shifting on the crank, but not 180... that would put all the events near bottom dead center. I think pulling the flywheel off and checking for the key way would be a good first step.
I'm not sure about the stator polarity either. To make the engine run backwards is all about ignition timing. Reversing the polarity of the stator (if it would even run) wouldn't change the timing. The electrical system is AC anyway. I honestly don't know what would happen if you reversed the polarity on the stator, but I think it might actually work the same.
- Frank
1984 200ES Big Red
1985 350X (x2)
1986 350X
1986 250SX
1984 Auto-X
1984 ATC70
1985 ATC70