363WR30X0310 Kenmore Ice Maker - Overview

I first shut off water flow to the fridge. Examination of the package (which was not exact in appearance to the original) demonstrated that the electrical connectors were well-insulated so I arrogantly and successfully proceded without disconnecting the power. My fridge is old enough that the model doesn't appear exactly on anyone's list so I wasn't alarmed that it took an extra 10 minutes or so to noodle out how to adapt the slightly different inlet cowling and electrical cord with extension, but the device is pretty simple.
Soon I loosened the two mounting screws with a nut driver, used a screwdriver to pry away the plastic snap-in housing over the electrical socket on the fridge inner wall and pulled away the electrical plug. The original water fill tube remained in its cavity, ready for re-use.
The new unit's mounting points matched the original screw locations perfectly, as did the fill cowling - which on the replacement icemaker has two possible attachment points. The new unit's electrical connector required an extension pigtail to adapt to my socket, but it was included in the package. The extra cable posed a minor cosmetic issue because it hangs in the collection basket a bit, but that will soon be remedied with a tie wrap.
After the water was restored and an anxious wait of a few hours, we had well-formed ice cubes that weren't all stuck together and the stalactites haven't reappeared.

I unplugged the electrical connection. Then I removed the 2 screws holding the icemaker in place. I lifted out the old icemaker unit and put the new one in place. Then put the 2 screws back in and plugged in the new unit.

The icemaker started making ice very soon after turning the unit on.

used a screwdriver to remove screw and unplugged part. Plugged in new one and secured with a screw.
Simple