First, a quick lesson in blaster electronics.
There are three copper wound coils under the flywheel. A lighting coil (which produces 55watts peak at about 35 VAC), a source coil, and a trigger coil.
The lighting coil is hooked to the voltage regulator which is an internal short to anything over 14VAC to limit the voltage on the lighting circuit to anything between about 7VAC (when you are idling) to 14VAC at peak RPM.
The source coil is what charges the ignition coil primary leg.
The trigger coil is what tells the CDI box when to fire the ignition coil and spark plug.
I don't THINK it's possible to power the ignition coil off of the lighting coil but stranger things have happened. You need to check the wiring under the flywheel to make sure one of the enamel coated wires didn't get rubbed bare and short out. Also, use the wiring diagram in the manual to check your wiring connections under the hood in front of the handle bars.