Update: So, I pulled a lot of the wiring out of the protective plastic gizmo to check if maybe there was a break caused by whatever created the slack mentioned in the first post. There is a connection just beyond the fuses, etc that come with the Eaton wiring harness. Basically that is the start of the wiring heading down the frame towards the rear diff.
There was a small crack in one of the connectors. While I didn't think that was the issue, I reconnected both wires just in case, bundled everything up again, pushed the button, and ...bupkus.
I had kind of resigned myself to following Haugwild's approach and taking it up to Jeff Daniels sometime. And then, this morning, I pressed the button again and Boom it worked. The locker definitely engaged with my tires squelching down the driveway.
My guess is that I might still have an issue like Haugwild and maybe some connection just happens to be engaged right now. Time will tell. But, the good news is that I don't seem to have a problem with the locker itself.