Saving the crapped up SHELL of a game? Waste of time if they covered the whole dang thing in formica. You've saved the innards, you're NOT the person who ruined the rest of the cab. It's stupid to worry about saving material that was used, especially when it's particle board. That's like worrying about restoring one of those crappy video cabinets from Wal-Mart that's all pressboard and the formica is starting to buckle. Not worth the investment.
Now, had cabs been made out of real wood, or if you were able to save the artwork, you'd be talking a different issue, but since neither of these are possible, just stick the guts into your project here. Removing paint, one thing, removing formica, TOTALLY different ballgame.
Look at it like this - you're building a cab from scratch, just like the manufacturer did. The difference is that you're not making any more. You're building a better home for the parts, and keeping a "machine" alive. Or, look at it another way. All the particle board is damaged, you're just making several replacement panels to get it back in good condition.
This is like stupid building codes in WI where you can't build on certain properties, but you can "renovate" the existing structure, and can tear EVERYTHING down, EXCEPT one original wall. Then, the next year after your "renovation", you "realize"
that the old wall is experiencing "problems", so you tear it down and "repair" it.