This video was re-formatted with HandBrake, using Hector's exact guidelines. And... while uploading it here, Vimeo gave me a warning message which said, "This video uses a non-standard frame rate (15 fps). This can sometimes cause problems with playback (such as the video and audio not syncing)."
Well, that's exactly what the problem is. Go to 38 minutes, 30 seconds in the video and watch the testimonials section. The video and the audio are not synced.