A1286 Logic Board & Top Case Cross-compatibility

So, I've got a late 2011 15" unibody MBP with an "irreparable" logic board. ("significant trace damage.") A buddy of mine has a mid-2012 15" unibody with a detached display. (not sure how this happened...) Assuming that whatever detached the display did not damage the display socket on the logic board, can I just drop the mid-2012 logic board into the late-2011 casing?

Actually, now that I'm thinking about it, is the top case cross-compatible, too? The keyboard on my late 2011 is a little wonky, and I wouldn't mind replacing it, if the part were free.