K...Great idea, just looking at your pictures, instead of trying to hand the quilt right up again the door and glass, why don't you consider hanging it outside of the door recess :wink:
Then the cat will have a space to get in easily too :D
Just had another thought...if you sew a row of curtain tape to the top like regular curtains, but use a pole with wooden rings you will get a nice drape if you want some fullness in it.