How do video producers cope with matching or normalising inputs from multiple differing devices?
Apple's Final Cut Pro X includes a variety of auto-analysis and auto-correction features — stabilization, compensation for rolling shutter, color balance, et c.  It can also attempt to automatically time-sync multiple clips, which I've found does a pretty decent job at roughing out the timeline.

While I normally would feel uncomfortable relying on automated corrections, for a large set of variant inputs, it's the only practical solution I've found.