Thanks for the quick response!
I had considered copying my entire desktop, but was hoping that would not be necessary since it seems like something that could be solved by having the original desktop be draggable to other monitors. I was also kind of hoping that, at worst, there would be a way to copy fences or a desktop page so as to not have to recreate it all by hand.
Ah well, I guess I'll just put icons on the second desktop.
Thanks for trying though.