> They're not immiscible,
Hrrrm.
Can you control, say, Apple Mail or Safari with XMonad?
Ah, you're in the X11 uber alles camp. In that sense they are immiscible, yes; X11 is a second class citizen, it should be a second class citizen, this will never change, if you don't like it then indeed you must run something else. There are plenty of craptacular X11 desktop environments on Linux if that's what you like.
--