There are three contacts in the starter button assembly. One is +12v, one completes the circuit for your starter motor, and the third completes the circuit to your headlight. Normally the headlight circuit is closed so the light is always on. When you push the starter button it opens the headlight circuit and completes the starter circuit so you're drawing less current elsewhere on the bike when the starter is engaged.
Trace the wires from the right had controls back to where they connect to the main wiring harness. There should be one black, one yellow with red, and one black with red. The black is the +12v, the yellow/red is for the starter and the black/red is for the headlight. Unplug these from the main harness.
You can now make a little jumper wire to get from the black/+12v to whatever the black with red plugs into. This will get current directly to the headlight and you can impress your friends with your kick starting prowess. Also very helpful here is a good wiring diagram, a multimeter, and plenty of patience. If you haven't monkeyed with your wiring much, this can be rather daunting. But take your time and make sure to have that wiring diagram handy to help sort out the mystery.
This method may be easier for a short term fix until you can get your new right hand controls in place. When I got my bike its starter button was roasted and the previous owner used a little wire with alligator clips for the jumper. Seemed to work OK but just make sure to use decently thick wire since its passing a goodly amount of current.
Good luck!
