And you want all this in a casual game? Hmmmmm...

Casual or not, I think we all know people often take it more seriously than that; if I had that much to dig into, I probably would have been making my own island, too.
I don't expect any such system would ever give a modder the flexibility that the devs have in making their puzzles; but even just being able to re-locate the old puzzles would go a long way to creating a 'new' island without the constant positional reminders that the puzzles are all in the same place, and solved the same way.
If we were permitted to determine what skills were required for a task, combining that with the ability to manipulate images, you could easily make 'new', totally unrecognizable as being an old puzzle with a different location and skill requirement.
That having been said . . . yes, I want that. I also want a motorcycle, but I don't expect to get that, either.