they'll probably move this to "Other Bikes" since i think the 81 650C is a DOHC - at least the one in my garage seems to be -- but (and i haven't read the 650C manual):
- if you're getting low voltage, you'll want to clean the contacts for the wiring if you already haven't, just to make sure you've got optimum contact. also, at least with the older bikes, the charging system produces optimal power at a much higher RPM than idle (my 550 puts out optimal, yet still not enough, at over 5K RPM). in otherwords, they're like sharks - they need to keep moving or they die lol.
i have heard that the early 80s Customs had a variety of problems with electrical components, too (no idea which ones) - so maybe another member can offer ideas there.
from what i hear, bumping the idle up is not recommended if you're riding in hot weather through stop+go traffic (air-cooled engine and whatnot). from experience, i bumped the idle on my 550 to ~2000RPM for a while by advancing the timing slightly, and it did get kind of choppy on a hot day when i was stuck in traffic for about 10 mins, and i could really feel it kicking off the heat. just my 2 cents on that.