First thing is to figure out how it's attached to the outside skin.
If it's glued, it might be downright difficult to separate from the skin. But otherwise it shouldn't be too hard, the wood is simply stapled to the next piece which won't be difficult to take apart.
Get a Kreg pocket screw jig - I used the junior because of the cost and found that setting it up twice to put to pocket screws in a 1 x 3 wasn't very difficult. If I was running a full sized woodshop then the junior would be the wrong way to go but for a one time job it's fine. It's well worth the price to buy the proper Kreg screws to go with it.
Figure out a starting point and work from there replacing pieces as you work your way around the shell. PL premium construction adhesive will hold the pieces back in place against the shell when you're putting in the new wood.
It's likely to be a slow process though because you have to brace the pieces while the adhesive sets up. The other choice would be to use one of the 3M VHB tapes.