You can get the Kz1000 pulsing coil assembly, that I thought was still available (but not cheap), and replace just the coil itself (or the entire pickup bracket assembly minus the timing plate). If you replace both (both come in the assembly), then you won't have to splice any wires.
Here is how the magnets should be arranged when re-assembling:
home.comcast.net/~loudgpz/GPZweb/Ignitio.../PickupAndRotor.html
Patton found the one for the Kz1000:
Patton wrote: Per kawasaki.com, the "pulsing coil" assembly part number 59026-1012 was used on various Kawasaki models through 1995.
www.partzilla.com/parts/detail/kawasaki/KP-59026-1012.html
