to kill the ignition you need to join the two point sets together via the "kill" switch….

have you tried disconnecting both kill wires at the points and measure the resistance between the two wires … with and without the kill switch in kill mode

please post your results ! you should read 0 ohms in kill mode and OPEN in run mode (disconnect the battery while doing the test )

option a – wires short out to 0 ohm in kill mode …… work the engine points side for a solution
option b- wires do not short themselves in kill mode….. work back to the switch for a solution (bad switch, wrong switch, open wire….