Do you see any error code on the display? Try holding the Freezer temp button and Ultra Ice button at the same time to see any error code.
Possible error codes:
Er IS: Ice maker sensor, Check/Repair Sensor short or wiring problem
Er It: System error inside ice maker, Check/Repair Self-test ice maker routine
Er IF: The fan for the ice compartment failed, Check/Repair Icing fan blocked, ice fan motor is defective, wiring in the circuit is defective, or the control board has failed
How to replace an in-door ice maker on a French door refrigerator: searspartsdirect.com/diy/repair-guide/how-to-replace-an-in-door-ice-maker-on-a-french-door-refrigerator
If you'd like to fix it yourself, find parts here on Sears PartsDirect: searspartsdirect.com/model/3mjp8v3msu-000583/kenmore-elite-79571053014-bottom-mount-refrigerator-parts
For a professional repair, call Sears Home Services at 1-800-4-MY-HOME.