My eBay tripod arrived today from Hong Kong; it shipped on the 4th, so 10 actual days shipping time, which isn't bad. While it's not a great tripod, as we already knew, I like the mount itself quite well. And when the tripod legs are held together, it actually is far more stable for video than simply trying to hold the phone steady in my bare hands. It's no Steadicam rig, obviously, but it makes a pretty good handle that should improve my ability to shoot short video clips.
As for the mount, it's easily removed to put onto any "real" tripod.
Thanks for the recommendation, dredd15! Nifty device, dirt cheap, doesn't require that I mod anything or change cases--all a big plus in my book!