Well, my major problem has been figured out...
I sat in the parking lot after work for a couple of hours messing with things.
The monitor comes with several cables... including HDMI to HDMI+USB, HDMI to DVI+ USB.
I was using the HDMI to HDMI + USB cable. The much smaller HDMI connector takes up way less room than the DVI connector does.
Running out of options, I used the HDMI to DVI cable (I have multiple video outputs on my PC). When I the USB connector in, Windows found it and the touchscreen driver came up. Life is good now.
I emailed MP3.com to see if I can get a replacement cable however, as the HDMI cable is way easier to use in my installation.
Now if I can figure out how to keep the monitor from shutting off every time I turn the power off I think I will be a happy guy.