The buffing wheel can be extremely dangerous.  Most people who injure themselves just dont reaiize that they need to be used with caution.  I would try a combination of the methods suggested... Do the lower case components seperated, but do the LCD case intact... just find a safe way to cover the lcd (like a sheet of styrene cut to size) and tuck the wires safely away... or hand buff the top of the case.  Maybe the best test would be on a damaged case from ebay, to see how well it buffs. 
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