One problem related to air conditioner has been reported for the 2013 Jeep Wrangler. The most recently reported issues are listed below.
The radiator cooling line rubbed against the air conditioning condenser, and the rubbing caused a hole which evacuated the a/c fluid. The fix was to replace the condenser and distance the radiator line so that it was no longer touching the condenser. The Jeep has never been in an accident, and it seems like this was a factory defect. The job costs over $700 at the Jeep dealership.