More power to you, but this is definitley one I would not even consider doing, particularly the resoldering bit. I was an assembler, so I've done plenty of soldering and testing, but this just seems a bit pointless to me. Wood shouldn't be a big problem AFAIK, since a lot of 70s gear had wood cases. My Pioneer SX-990 does.
How about just a thin cover over the player to give you the look?