[Piotrsko]

You have coil theory backwards. Thick wire is more current, thin wire is more voltage.

One way to increase voltage is to spin faster which I guess is impractical. Or twice as many magnets, or stronger magnets. Voltage induced is a result of the rate of flux lines being disturbed.

You could alter the wiring such that the lighting coil and ignition coil are in series then see what you get. I believe the wiring is not empirical because one coil will probably need reversing. Should also be pulsed DC since you are exciting the coils with 1 magnet, if it is AC because your using both sides of the magnet, a simple power bridge diode makes it dc easy peasy.