Update: It works! Awake the dead!
I got a Marine battery that's been flat dead for over a year to start charging!
It's cool that the light glows when current flows in the battery.
The voltage came up to over 25V at first, then dropped to 12 after 30 mins, then to 10.8V-11V after about 6 hours. After that, I put my bypassed charger on the battery @ 10A, and it sat at 15V for a while, then dropped slowly to 13.5V after 3 hours, then I put it on a 2A charge, and let it sit for more hours, and it's nearly full now. I'm letting it charge overnight.
The desulfator is LOW current, and won't charge the battery much by itself, but it wakes up the acid with the high voltage, so you can charge it again with higher current. Because there's over 120V DC, I decided NOT to use a capacitor, because I don't want to get shocked by the stored voltage in the capacitor, after it's unplugged.
BTW, I got my parts from broken TV's. All free. The bridge rectifiers are easy to spot. (bridge rectifiers are just 4 diodes in one package)
*I'm only using a 4watt bulb, I may try a 60W or 75W bulb and see how it does.
I still say you need an unregulated charger (in addition to the desulfator) of some sort once the battery starts to take a charge again, so you can leave it at a high voltage, but have good amps to charge with. A regulated charger will shut off too soon and not give a full charge. A 3Amp, 12.6V Radioshack transformer with a bridge rectifier and a capacitor would do the trick if you don't have an unregulated charger like mine.