This may be something you could hire out to The Mechanical Turk to get it done faster,by throwing many people at it at once, but it won’t be cheap.
Microsoft once demoed something a few years back: it was an A.I.-driven “automatic home movie maker”. It would take a long file of raw video and automatically make cuts based on length of shot, how much things in the shot changed, if new angles appeared. It wasn’t very artful at doing this, kinda like the old saw about the dancing bear. I never saw it come to market; just the demo.
The audio changes are less daunting and more automate-able than automatically sensing where to put ins and outs on a continuous string-out of raw footage. QT 7 or QT Pro can modify files where they sit to delete audio, I think… Trying to think of ways to speed this along, I imagine some kind of hybrid system, where you play the string-out in real-time thru a switcher to another digitizing station. It still doesn’t really work.
Mpeg streamclip could take a long single file of these cuts, and let you skim in JKL mode to place ins and outs, then you’d hit “export” and render out single short segments from that master, like slices off a salami. You can render without audio. So you get a folder of silent, individual clips out of that. I’m guessing someone good at using FFmpeg could maybe program a batch operation to marry each silent clip to the same length audio track, and output to a folder. None of that is anything near real-time, though.