hey norm,
could be that you can get away without the inverter. lots of these drills run ac/dc
my little 3/8" b&d #7196 runs fine on anything over 24vdc..really need 48v to get much umph though. yours might be the same? worth a shot if your just fooling around?
cheers, dave
Then if it can use DC you might have better surge luck running the inverter output thru rectification to some big beer can caps and then to the drill as DC? That is pretty spooky DC levels probably 180 volts but is another idea to use what you got. Depending on the inverter it might have half the output volts from "hot" to "ground" so could do some electrickery to get a lower DC volts and more current?
I have a small herd of 15,000 microfarad 100 Volt electrolytic caps I will never use all of them. I would gladly send you a box of 6,8 or whatever you need. Would need them in series to handle the volts and in parallel for oomph. Easily get you enough to play with.
This way the caps should supply the surge once its running and maybe get you past that power draw dip.
Probably lots of problems with the idea but there it is. Might create a heck of a light show and arc fest but I would try it.
Oh I have some big diode packs that could handle that power and voltage too sitting right here on my desk from Drives Dean.
Glen, bring on the reasons he shouldn't do this [if any]

Tom