Just as a followup:
The problem went away all on it's own for about 19 months and then reared it's ugly head once again, and once again as an intermittent problem. Within the last week it finally was failing more than working and I was able to track it down to the sensor, itself.
Usually with intermittent electrical problems, I suspect wiring harnesses and connectors, but when I was able to eliminate every-other possibility and the sensor failed long enough for me to do a bench-test on it, I was able to confirm it to be the culprit.
So, I guess the lesson in all of this, is don't over-fill the diff with ATF. When I pulled the gear and assembly out of the sensor, ATF poured out of it. When I pulled the sensor, itself, apart, there was obvious signs of ATF contamination and apparently the electronics don't like ATF.
And by the way, I was able to find a ebay auction for new on that sensor that was substantially cheaper than any of the dozen local shops I called. (cheapest locally: $165 (and not in stock) - ebay: $49 with free shipping).
http://cgi.ebay.com/ebaymotors/ws/eB...K%3AMEWNX%3AIT
Camry's running great now!