You need the relay because your bike doesn't run from a magneto. The kill switch on a kettering system is the power switch for the coils. The breaking of the ground on the contact points is what generates the spark. In a magneto system, the magneto generated power just for the coils but on your bike the coils get power from the rest of the harness. There is no ground for the kill switch in a kettering system. Hope that made sense...
Anyway... a five pin automotive relay can be used in NC mode by utilizing pin 87a. In your harness, you'll want pin 30 on the relay going to a black wire in the harness. Pin 87a then goes to the black/white wire that leads to the ignition coils. Pin 85 should then be grounded (or connected to a green wire in the harness). On your kill switch, one of those wires goes to a black wire in the harness and the other wire goes to pin 86 on the relay. Pin 87 is unused and should be isolated to prevent it from causing a short circuit.
So in NC operation, the relay will transmit power through pin 30 to pin 87a. However, if power flows through pins 85 and 86, the relay triggers and changes the path of the power to pin30 and 87. The power that was previously going to your coils through 87a is no gone and the coils stop firing.