Running hot/AC doesn't cool when idle?

Open the drain plug till it runs dry and flush it out till the just plain water coming out of the drain hole-close it and fill it up with the correct coolant

Bleeding the Cooling System

Allow the engine to cool down to ambient temperature.

Open the radiator cap.

Turn the engine on and turn the heat to max. Turning the heat to max allows the radiator fluid to circulate through the cooling system to ensure that all air pockets are eliminated from the system.

Rev the engine to 2,000 RPMs and hold for approximately 10 to 15 seconds and repeat two to three times. This will allow the radiator fluid to circulate throughout the whole system and ensure that all air pockets exit the radiator.

Gently squeeze the upper radiator hose approximately 6 to 12 inches from the radiator cap. Squeeze about five times. This will bring more air pockets up and out of the radiator and will ensure that the engine does not overheat.

Get it chemically or pressure tested to find out more-

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https://www.2carpros.com/questions/2001-jeep-wrangler-overheating

THE ONLY THING I MIGHT ADD IS THE POSSIBILITY OF A INTERMITTENTLY WORKING FAN OR FAN RELAY OR COOLANT TEMPERATURE SWITCH...I'M NOT REAL FAMILIAR W/ YOUR CAR

IF YOUR RADIATOR IS ORIGINAL,DEPOSIT BUILD UP INSIDE MAY HAVE IT SOMEWHAT RESTRICTED AND UNABLE TO DISSIPATE HEAT FAST ENOUGH BEFORE IT GETS CIRCULATED BACK IN.

ONE OF THESE GUNS MIGHT AID YOU IN FINDING OUT THE DROP IN TEMPERATURE FROM THE TOP OF THE RADIATOR TO THE BOTTOM

http://www.autozone.com/autozone/accessories/Tools-Garage-and-Equipment/Thermometer/_/N-26lq?filterByKeyWord=+INFARED&fromString=search

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