Don't worry about my feelings, they're not hurt. I've had people try to offend me and it didn't work.
I'll say this, though: Both Bill and I read your inital post and came up with a simiar idea. Maybe your initial description wasn't as clear to us as it was to you.
Re-reading your original, I see why my idea doesn't get you what you want. But it took three readings and a bit of thought to see why. The key line was, "The two options that I know about are either having 2 different X displays (so each can cycle through a different set of virtual desktops) ..." If I had two X sessions, one on the local box one an X-term, I would have called that "two views of the same desktop". It didn't occur to me that you would actually want to see the same document or app open on two monitors at the same time.