Originally Posted by terryjeep
...Snip... Further, it actually gets hotter after I shut it down , before eventually cooling off? ...snip...
This is normal. Once you shut the engine off, the water pump stops going roundy roundy and stops pumping water. What happens is that the heat from the combustion in the engine stops being removed by the coolant and allows the remaining heat to saturate the block until it is slowly lost to ambient. This could be avoided with some sort of electric coolant pump, but it is factored into the design and construction of the engine and is not something that you should normally worry about. Since your jeep is idling hot, I would not let the jeep idle for extended periods before shutting it off until you address the overheating issue. Instead, and if possible, take it around the block once or twice and let the temps come back down before shutting the engine off.
For your high idle temps, check your fan clutch and belts. Reinstall your radiator shroud if it has been removed for some reason. If you have an electric fan, ensure it is running at an adequate speed and is capable of moving enough air through the radiator. It is also possible that your radiator had become slightly clogged with gunk buildup over the years. As mentioned above, the water pump is also a possibility.