That boat shouldn't involve ANY cutting/rewelding.
First, remove the knee brace(s). Simply remove the bolts going through the transom, and drill out the rivets holding it to the hull.
Next, remove the side seat pods. Again, remove the rivets here - don't cut any sheet. It should have rivets through the side of the boat, and through the bottom of the hull.
Remove the L brackets in the corners (shown in your second picture). Again, just rivets and bolts.
Now, remove the strip on the bottom of the wood. It should be a Z shaped piece of formed sheet. Just as above, it's just riveted to the hull.
At this point, the wood should come right out - it is cut undersized enough to drop down an inch or so to clear the top cap. If it doesn't slide right out, figure out what bolt is still through the transom that you missed.
Install your new wood (or better yet, your new custom fabricated aluminum
) core, and replace everything in the reverse order.
When you remove your rivets from the hull, do NOT egg shape the hole - you want to leave it as original as possible. On the areas where it is thin sheet, to thin sheet, it is often best to sand or grind the head off the rivet (but don't gouge into the parent metal), then use a hammer and punch to knock it out. This means that there is no wandering of the drill bit into the parent metal. On the knee brace, they will likely not come out, as the rivet diameter to thickness ratio is different, so on those, I sand to flush. Then, center punch the exact center of the rivet shank, then drill.
When you go to reinstall everything, it's just a matter of reriveting the existing holes - there's plenty of info about that on this site.