One problem related to sway bar has been reported for the 2009 Jeep Wrangler. The most recently reported issues are listed below.
The bracket that holds the tie rod on broke off the truck and had to be welded on. Death wobble for at least 9 months. Replaced inner & outer tie rod ends, 2 stabalizer bars, shocks, sway bar and still shakes. Called Jeep corp. And they said sorry but they werent paying to get it fixed.