One fairly simple method would be to read document.body.innerHTML and post it back to the server.
Thanks for the help, TomB
I actually found this article that utulizes the jQuery UI-Sortable’s built-in serialize method. I used it to send the changes via a GET Ajax call and directly into a central MySQL database that has all the links involved.
Took me a few minutes to translate that into English when I first read it (: