ahh..that explains it. Its one of those things...hard to figure out what's holding it together, just by lookin' at it. can't see where the fasteners are!
so they're hiding behind the vertical laminate trim-strips. hmmm....I wonder if you could pry those out, if you were careful, without snaping one in half. probably not.
But the door under the stove: that shouldn't be too hard, then? I understand that removing the stove/oven isn't very difficult.
on edit: oops, just looked at your pics of the galley again; I see that the vertical supports along side the stove go all the way up to the counter top, too.