Hi Bob, Your unit has a seperate thermostat for the ice bin. It is located at the rear and will have a winter and summer position.
With ice cubes covering the sensor located in the bin, after a minute turn the thermostat back to the summer(warmest cut out ) untill the unit stops, then remove cubes and place a warm hand on the sensor. The unit should kick back on. Cover with cubes and it should cut out.
If the unit will not funtion as above you need a new stat.
big tone the fridge man, January 2009