[eluser]dmorin[/eluser]
How are you deploying your site to the servers? If you're using rsync or some similar tool, you should be using the option to retain the original modified date. This way, the modified date would be the same across all servers so all of the file names would be the same.
The other option is to of course rely on you central persistence layer to store the current file versions, but this is a big step away from where carabiner is so I'm not sure you'll find anyone making a patch for it here.