Mine did the exact same thing. I took a blow dryer, and used it to melt the ice in the tubing that feeds the ice maker. It worked great. I have not had any more trouble with it, and that has been over a year ago.
I have a Kenmore model 253.54622407 refrigerator ice maker that just stopped working.
I am getting water out of the water dispenser and I already replaced the ice maker with a new one, but still not working???
I also checked the door switch and it is ok.
perhaps the water valve to the icemaker? You could test is by switching the wires on the valve with the wires that go to the water dispencer. Then push the button and see if you get water in the icemaker. Also if icemaker is built in to the door sometimes the line freezes up in door. Disconnect line at door and see if you can blow through it