I guess it was time for the AHA! moment.
The issue appears to be the difference between absolute and relative coordinate settings in my tablet driver.
If I have the driver set to "absolute", the digitizer behaves like pen-on-paper: fixed screen locations correspond to fixed points on the physical tablet. This is the intuitive setting, but it causes the offending widgets to jump like mad.
If I set to "relative", the tablet behaves more like a mouse, ie: the pointing behavior picks up from where you left off. It's a really weird setting to enable, but it does make the widgets usable. Not as graceful or intuitive as the 'absolute' setting, but probably something that can be learned to be dealt with. I'll have to play around with this for a while to see if it'll be an acceptable work-around.
Thanks for all the help, folks!