OK I can confirm that the T61 can drive 3 external DVI monitors using the Advanced Dock.
I am typing using this configuration right now.
I have the Intel integrated graphics on my T61 (I purposely chose this "downgrade" for better battery life when on the go) and Windows XP Pro.
I am pretty sure that my solution will work only with XP, because XP allows the use of multiple graphics cards from different manufacturers (in my previous laptop multi-monitor configuration, I used a Dell Latitude D810 and a Digital Tigers Sidecar HD; the Dell had the ATI Radeon mobility graphics card and the SideCar used a Matrox card).
With my T61, I am using the Matrox Millenium P650 PCIe card. I paid a total of $196.47 online including shipping (no tax); your results may vary.
Setup was very simple.
and found myself with 2 external DVI monitors working. While that is nice, it is not a significant step up from what you can get with the empty Advanced Dock (ie no graphics card inside)., which allows you to use 2 external monitors, albeit only one DVI, with the other VGA.
So hoping that I could still get 3 external monitors without springing for the QID LP PCIe card, I left the T61 docked, and shut down. I then powered up the T61 (using the Advanced Dock power button) and tapped F1 on startup in order to access the BIOS. I switched the Default Primary Video back to its original setting, from External PCIe to Internal. When the T61 booted, both cards were recognized, and by right clicking the desktop and selecting the Properties, then Settings tabs, I enabled the 3rd monitor (by right lclicking the grayed out 3rd monitor and selecting Attached).
If you have previously set up multiple monitors, whether for a desktop or otherwise, you will find this all to be a piece of cake. Everything went off without a hitch or hickup.
Thanks to everyone for your help.