OK, I've looked through the wiring diagram. I see the headlight coil (yellow) and the normal charging coil (pink).
Headlights on = headlight and dash lights powered by that coil with yellow wire (connected to red by the key switch)
Always (headlights on OR off) = charging coil (pink) connected to regulator (M1, light blue by the key switch) AND connected to rectifier (R, blue & white by the key switch).
Now, according to that diagram, the rectifier is a simple diode, which just clips or wastes half of the AC signal, thus making a crude DC which charges the battery and everything else.
If it were MY bike to do, I'd replace the regulator with a "12V pointless regulator" like the Honda CB350 and CB360 twins use. One wire connected to the coils' combined output, one wire connected to the "downstream" 12 volt system, one wire connected to ground. Then, I'd use a simple bridge rectifier you can get for $5 at Radio Shack. I'd connect the two coils - the pink and the yellow - together all the time and send that combined output to both the pointless regulator and new rectifier. Output of the rectifier goes to your new 12 volt battery. Then, I'd wire your new 12volt headlight to just be on at the same time as the taillight. Actually, I'd probably do without a regulator completely to start with. I suspect the battery would absorb "excess" without much trouble. I suspect the two coils together won't be generating, say, 15+ volts DC such that you'd even NEED a regulator.
This way, you'd have a very similar setup to a "normal" vintage 12-volt system.
For an even BETTER system output, I'd go into the stator windings and find the ends of the two coils where they connect to ground, and ISOLATE from ground. Combine those two ends and route THAT end to the other side of your new Radio Shack bridge rectifier.
That way, you'd have a 'full wave' rectifier, which means that it wouldn't be "wasting" half the AC signal like a simple diode does, but USING it to create an even better overall system output.
None of that is very difficult, but it DOES require a bit of knowledge of what's going on, just so you don't mess up.
Good luck with it!
Kirk