I think I found the problem!
Reading the online parts seller's web sites and following that advice we emptied the freezer, and put everything in a large ice chest for temporary safekeeping.
I pulled the plug, and whipped out my fancy tools, a Phillips screwdriver and a 1/4 inch nut driver. It is pretty easy to get the ice maker off, just three screws and unplug the wires. Lift and it is off. Four 1/4 inch head screws and then the light bulb removal. Wiggle and cuss, (that always helps) and the entire back panel leans out from the top, and then swing to the side.
I think I see the problem. Just a bit of frosted up evaporator coils. Out comes the heat gun set on the lowest heat setting and melt some ice. Lots of it came off in hunks and did not have to go down the drain.
Then I got to the real culprit. The defrost heater. It is kinda broken and fried. The clips that hold it in place have rusted off so it just fell down and I have no way to know if the sagging from the clips caused it to break, or if it fried first. It really does not matter. The coils are solid, with a little rust from the clip on both ends. I have a new heater on order and it is supposed to be in Tuesday.
So I put the back panel back on, hung the ice maker and hooked it up. It is plugged in, and getting cold. Likely I will have some defrosting to do before I can install the new heater. We will have a fridge that is cold, and working freezer until the heater comes in. I can have a cold beer and live will be good.
So around $100 bucks plus sales tax and a bit of tinkering it will be good for many years more.