Ok, I am at a total loss here.
Here's my test server:
and the exact same site loaded to my 'live' server:
Everything seems the same except the sliders on the index page aren't working.
Quick look... I'd say you are missing some files on your live server
I think your jquery has somehow become corrupt.
If that works duplicate the js file and replace the current one in your main site folder.
Faced a similar issue that I just helped resolve here: http://forums.adobe.com/message/4353710#4353710
It turned out that the FTP upload Mode was the culprit.
Try uploading your .js files to your server using the 'Binary' mode on your FTP. Sometimes, 'Auto' mode uploads in ASCII and you end up with a corrupt .js file!
I know its weird - but its true!