We've been struggling with the same issue. So far the best we've come up with is to designate your current C1 pro capture folder as the destination folder in eos utility and run it in the background. We could not get C1 pro to auto update either so if you keep the download progress bar of eos utility peeking out, as soon as it is done, click in and out of C1 Pro. If you click on the last image of the thumbnail bar, the new preview comes up in the large window of C1 pro. A hassle no doubt, but once you get used to it, yeah, it's still a PITA.
This is all Mac leopard based experience.
From what I've read I'm not all that hopeful that Phase will support tethered shooting for the 1DsIII any time soon. Too much competition?
Good luck, I'll keep an eye out for solutions.