It's been a while since I've done that, but can't you just use a 3rd party utility to transfer the files? That's what I always did and I never had to jailbreak anything. Maybe try this one, it's free and it says it works on iOS6:
http://www.syncios.com/download.html
There are a couple of things Apple does that I can never wrap my head around and the inability to move stuff from a device to a computer is one of them.