it will probably also die if you turn on the A/C, because the connection here is probably the A/C compressor. See if that is the case, and you may your answer. It may be that the A/C compressor is locking up or dragging, or your idle is too low to handle the extra load of the compressor.
There are several things that can cause your Jeep to stall while idling. The timing may be off or your fuel filter may be clogged.
If the car dies while idling, the timing might be off. Other causes can include a clogged fuel filter or a bad spark plug.
Is the AC turned on?
Thermostat should be located in the removable housing at the engine end of the upper radiator hose Radiator may be clogged or flow restricted the defroster kicks on your electric radiator cooling fan--bypassing your fan relay and temp. switch--so its probably one of those
Engine miss.
you are flooding the engine
it maybe just a timing problem
There can be many reasons why a car surges while idling. Some of these reasons are the computer could be dying, or the fuel injector are giving the engine too much gas.
Trans fluid is always checked with car level and idling while warmed up.
One of your belts may be loose or in need of belt dressing.
It could be many things. Try spraying brake cleaner on the back side of the engine where the intake manifold meets the cylinder head. If the gasket is bad the engine will mis fire or stumble.
The spark plug gap can cause the RPMs to fluctuate, while idling. The more probable cause of the fluctuating RPMs is a bad camshaft.