Well, I finally got it into work with me on Tuesday. Started out by changing both tires. Then blew the rear caliper apart and cleaned it up again, since it was hanging up again. Then went through the wiring. Cut out the connector from the stator to the R/R. It was melted a bit and generally nasty. So I soldered the three wires directly to each other (one by one, not all three together). Then untaped the harness to find the crimp, only to find that the PO had already soldered it. So I retaped it.
Then I "shotgunned" the carbs and put new plugs in. Started up after some cranking, obviously, I had the carb's empty.
But once it was running, it seems great. Grabbed a voltmeter and checked the battery, 13.6 at idle. Awesome!!!!
So I'm taking it home today. Hopefully tomorrow morning, after it's completely cooled down, it'll start again easy.
Seems I am in the clear for now.