I have a Wolverine 350 automatic. The bike will not turn over unless the front steering is in an exact position, because the green neutral light is off. Once it is in the correct position, it will run, but if the wheel is turned it kills. Unable to ride. Starts fine as long as the neutral light is on.

 

A wire to the dash is broken. As they all have to move with the steering, they can eventually break inside. Honda 300s are well known for this. As it cuts the engine as well as the power to neutral light, it is probably a main power wire to or from the ignition. Only way to tell which is to check the wires with a meter.