Seems to be no shortage of buggy messes related to graphics.
I found some posts about the Lucid Virtu software but they were several years old and I couldn't find the actual software. It seemed like that was some kind of virtualization software, anyway.
I'm actually trying to work around another bug. VirtualBox has an issue with my AMD drivers, so 3D acceleration is not working. I was trying to coax VirtualBox into using the Intel GPU instead, but VBox doesn't actually have any direct GPU access. It just uses OpenGL (up to the host to dictate which GPU gets the calls).
I tried switching my second monitor to the Intel GPU just for giggles and running my VM on the second monitor. It didn't work. VirtualBox is still trying to load the broken AMD drivers, and when the graphical desktop in my VM tried to boot there was a memory access violation.
The other thing I would be willing to try is to use the Intel GPU as my main / default, and hook up both monitors there. Then, I could use my AMD GPU only for games and certain apps that I specify... but it's the same problem. I'm not sure if/how to achieve that.
There were some instructions for doing that on laptops with Optimus, but nothing pertaining to desktops.