The problem is temporarily solved!!!! The right axle shaft flange had a lateral (wobble) run out of .008-.010" as measured at the edge on the face with a Starret dial. The end play is exactly .046". The rotor had a run out of .012". To me, both of those dimensions are excessive. I installed the new rotor on the flange and secured it. When the axle was pushed in, the rotor was about a 1/32" away from touching the inboard caliper casting. With the axle pulled out to the end play range, the rotor was just about centered.
I had already moved the pistons back in their bores. I held the rotor in the centered postion and applied the brakes to reset the pistons in that spot. When I turned the left tire, the rotor and pads made a shh...shh...shh sound from the rotor run out. I decided to again reset the pistons directly on the spot where the pad didn't make contact with the rotor. After doing that, the rotor/padnoise was almost consistent all the way around!!!!
After doing a quick blast down the highway, both calipers were the same temperature. Normally the right one would very hot at this point. So, this is a temporary fix and will only be permanent when I rebuild the rear axle.
If this would have happened on the front, I don't think that the heat generated would have been as severe. The spring loaded pistons in the rear not only keep the pads snug on the rotor, but also a stronger force is required to push them back.
Thanks to everybody for their suggestions as they were extremely helpful. Oh well, I have more fish to fry.