One problem related to power steering pump has been reported for the 2006 Jeep Wrangler. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2006 Jeep Wrangler based on all problems reported for the 2006 Wrangler.
2006 Jeep Wrangler -- bought used with less than 30k miles on it. Wobble at about 55mph, intermittently. Mine was solved by replacing the stabilizer bar, had nothing to do with tires, although the first time it happened, I thought I had blown a tire. Gas tank filling -- same problem, the pump doesn't shut off unless you pump the gas slowly. First few times, spewed gas all over the Jeep, myself and the pavement. Now I listen as the tank fills and slow the fill as I know it's starting towards full. With the slowing, the pump does shut off but it's a good idea to have some idea how much gas the tank will take at certain fuel readings.