On my mobile rig I too make use of shift+D. I also have a screenset configured so that only the console (in the multi dock), timeline and control bar are visible, the inspector and browser have been undocked and removed. I also make sure to hide any tracks/busses that I don't need to see to keep the clutter to a minimum.
On my desktop setup I keep the multi dock in place on my main monitor and float the console on my second monitor.