Hi there,

EDIT:

I've decided to ditch Ice altogether, but I can't seem to figure out how to move the UI elements of the RedUI around (Ctrl+F11 does not work)

Can someone help me out?

ba eventually will move to use chili

EDIT:
Moving the menus in RedUI works for me with middle mouse click.

For more detailed layout changes, you can edit the text files of the widgets with an editor (When IceUI didn't work and I had to use Red, I did so with the build menu; wasn't too hard). Still, I personally like the easy configurability of Ice better

Answering to your post before the edit:
If you have duplicate widgets with IceUI: try disabling RedUI first before enabling Ice. If there are still duplicates, look with F11 if widgets that belong to neither could be the cause...
If parts of RedUI are not drawn after disabling/enabling them, you could try to enable "RedUI drawing".