Windows programs in Cygwin/X ?

["Doug Bohl" <douglas dot bohl at gmail dot com>]

After much turmoil, I've managed to get a number of window managers
running in Cygwin/X.  What I'm wondering is this:  Is it at all
possible to allow my windows programs to be managed by my Cygwin/X
window manager?  Presently, if I'm in -fullscreen mode and I'm running
some X programs, I'd have to alt+tab out of X and into explorer.

If this isn't possible, what would I have to do to make it possible? 
Maybe write an X program to 'trap' the window of a Windows program
into an invisible X window.  Or something like that.

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