Okay, I have spent all Sunday afternoon researching these small electronic ignition modules. I finally found U.S. Patent No. 4163437. It's for an improved electronic ignition module over the first one invented by Bosch and covered under Patent No. 3878452.
In reading the patent, it seems lawn mower engines have different ignition (spark) coils from our mopeds. The coil in the lawn mowers have the magneto magnet passing right by the primary winding of the coil. The primary winding gets magnetism directly from the magnet and sends magnetism to the secondary to generate electricity in it that goes to the spark plug. That's why the spark plug wire on my lawn mower pops out of an engine cover. The coil is deep inside the engine and inside the magneto.
Our spark coils are outside the engine. Mine is fastened to the bike frame. There's a magneto coil inside the magneto that sends power to the primary winding of the spark coil mounted on the frame of my moped.
On a lawn mower, the engine gets the proper timing because the primary winding of the coil is directly pulsed by the magneto magnet flying by.
On a moped, the timing is set by the points opening and closing.
I found a diagram on the Internet showing the installation of these electronic ignition modules. (see http://www.psep.biz/store/universal_electronic_ignition.htm )
You cut the wire from the points and condenser and install the module there. On a lawn mower engine, that's okay since it still gets timed from that magnet flying by the coil primary winding. (Notice the strange shape of the coil at the above Internet address... It's shaped to fit against the magneto so the magnet can go past the primary winding.)
On a moped, the timing is controlled by the points. Cutting the wire from those points would remove any chance to tell the electronic ignition module when to trigger the spark plug.
I DID find one electronic ignition module that could be made to work but you would need to severely modify the engine You can find it at:
Scan W-A-Y down the page and find the ignition system I have included a picture of as an attachment to this note. You would need to attach the aluminum disk on the outside of the magneto flywheel (somehow) and mount the magnetic pickup coil somewhere where it would see the little screw going by at the right time. The magnetic pickup coil would trigger the Chrysler ignition module they provide with the kit and you could use a moped spark coil. You may need to install a battery for power to the system.
Ain't gonna happen at my house.