Gary
Using dual monitors is great. I can put not only ATC, but the radio stack and GPS over on the 2nd screen, that way I can see all of the panel, or use the "W" key to have just the main gauges at the bottom of the main screen and enjoy the scenery.
The main monitor is a 21'' flat screen, the 2nd is a 19'' standard screen.
If you decide to go with two screen make sure you set the displays up as 1 and 2 and extend your screen onto the 2nd. DON'T use the clone mode. Then you just uncheck the Full Screen in the view menu. Then open the radio stack window, undock it, grab it with the mouse and drag it over to the 2nd screen.
The tutoreal I read says that there is no way to save the windows on the 2nd screen. However I have found that if you set it up and then save the flight, the windows will reappear in the 2nd screen.
As for being strange, not at all. I have mine set right next to each other with the 2nd to the right side, it's just like being in the pilot seat.
If you have a 2nd monitor laying around, try it and I'll bet you will find the space to keep it set up.

Let me know what you find.
Steve