Hello - I am looking for the wiring detail of the magneto wires so I can correctly wire in the kill switch circuit. 

I have looked in my Chilton's manual and on the factory manual I have found here on but I don't see any detail of that specific circuit or identification of what the other wires are in the wiring loom.

thank you. 

Tee a wire into the small black wire from stator to coil.

Install a button that grounds the wire you installed when you press it to kill the spark.

Done

Like Mark said; slice the wire coating off the coil wire
( black ) 1/4” or less carefully with a razor blade. Wrap any wire around that and black tape. Run that wire up  to the handlebars with your kill button clamped on either side whichever is more comfortable. It’s really simple.
You should be able to search ( minibike kill button ) or motorcycle kill button ) you only need a one wire button.

a

 

Remember, when someone mentions “coil wire” they are not talking about the spark plug wire attached to the coil. 

Spark plug wire would make ya hair stand on end.
Just crimp a double connector female in place of the single female on the black as it connects to the coil. Also depending how well your handlebars are earthed [powder coated bars could resist earthing] it could be good to have a separate earth from the button to somewhere frame--like coil mount loom earth. Even that could end up not working with coated bars if the button earths by center touching the bar when pressed, but not sure if any were like that. Getting off track again--chrome bars & you'll be fine.