I have three pole positions in my living room and something is wrong with each. I was wondering if I could take the two best sides from all three machines and put them on one?
In theory it's possible but I wouldn't chance it unless none of the cabinets are worth fixing otherwise, it all depends on how well attached the sides are to the rest of the parts and how much patience you can exercise. Typically when you're going to remove a major portion of a cab that's well attached it'll involve either destroying that piece or the parts it directly connects to, because otherwise they don't usually cooperate and simply prying them apart results in two wrecked pieces. You've also got to align everything up perfectly afterwards else things like back doors and such won't fit anymore.
The closest I've come to that was removing the broken kick panel to my Buck Rogers upright, and to get that out without wrecking the sides I had to take a jigsaw and cut it into several pieces so each could be carefully worked loose by hand.
Read some of the other threads on doing major restorations, you'd be surprised at what kind of damage can be fixed without going to that kind of extreme. Here's a good one that shows some incredible work by other KLOVers: