Sometimes I use two screens on AutoCAD if I'm working in a project on the left screen and a prototype project that I am copying information from on the right screen. I think if you suddenly go from 1 screen to two screens of AutoCAD you should be able to drag an open tab (drawing) over to the empty copy of AutoCAD open on the other screen similar to how you can reorder tabs on a single copy of AutoCAD.
For instance, I am counting electrical lighting fixutres and already have the background file open in the same instance of AutoCAD. I now want it and another sheet to be visible at the same time. I think that instead of opening it up the slow way on the right screen, if I could just drag the tab over there efficiently, it would be a neat fix for multitasking drafting.
Kevin R
http://imgur.com/q6NyesF