So the first thing I'm going to do is put the battery on my Battery Tender when I get home tonight and let it charge for 24 hours. Then I can unplug the Battery Tender, let the bike sit for a few days, and check the battery charge by plugging the Battery Tender back in. If the Battery Tender does anything other than cut right off after a couple of minutes max, the battery has an internal short and needs replacing. Luckily since I have the Nightstrom, I don't need this bike to commute.
Oh, here's something to remember: When you're pissed because your motorcycle won't start, don't lean it over onto the sidestand without, uhm, putting the sidestand down first :-). The KLR fell over onto the Nightstrom. Luckily the topbag hit the Givi rack and stopped the KLR from falling over all the way, giving me the chance to swing my boot out from the other side of the KLR and push it back upright again. Then I pushed the KLR back to the front of the garage, backed the Nightstrom out of the garage, and rode the Nightstrom to work. Oh well!
-- Badtux the Motorcyclin' Penguin
Postscript: Yeppers, the battery is the problem. I took it off the Battery Tender once it went to maintain, put it back on again a couple of hours later, and it started charging again. The Battery Tender will, with a healthy fully-charged battery, do its red light, then start flashing its green light, then within a minute go to a steady green for "maintenance"... if the battery lost enough charge in two hours to stay in the 80% flashing mode for more than a minute or so, the battery has a short and is losing charge and needs to be replaced.