Something is still wrong with your link, but one possibility that you may look into is essentially sanding the top layer of dead paint off with something like 1000-grit sandpaper, and then applying a clear coat, etc. Someone with bodyshop experience can probably answer this more precisely, but I know from experience that even a fresh paint job is sanded like this and then buffed to get it perfectly smooth. This won't help if the tone/shade of the two paints are different, but it could correct a difference in sheen.
Currently an '86 CJ-7---following a string of '01 Sahara, '90 Sahara, and '85 CJ-7. Finally got back to how it all began....