Well, if it's really your dream, with some work, you can sort of do it.
Now, of course I don't have all the names of the apps required in front of me, but others will fill in the gaps and some versiontracker searching will help.
One PITA way would be to somehow do a screen motion cap of the visualizer and save it as a Quicktime movie. Hopefully there's some motiongrab software that can get a decent frame rate. Then get the shareware app that plays QT movies as desktops (can't recall name). It's really cool. Runs slow on older machines I guess, but my DP (G4) boxes ran it like glass.
Plan B: get a DV video camera, point it at the visualizer, capture it as QT movie and run it thru the same shareware app.
Option 3: Take a still screen cap, place it as your desktop and then wiggle your head really fast.