One problem related to ignition module has been reported for the 2013 Jeep Wrangler. The most recently reported issues are listed below.
Out of the blue the Jeep would not start one morning. There were no warning signs. It had to be towed to the dealer. Turns out the wcm (wireless control module) failed in the ignition so the keys were not recognized by the module. They replaced the part (would not cover under our extended warranty we purchased!!!!) and reprogrammed both our keys. $385. 00 later it now starts.