I have a 2001 Sport that has the above problem, even after the heat shield/injector and fuel line wrap "solution". It overheats while I'm delivering Meals on Wheels and slow moving/idling for about 90 minutes (in 70-80 degree heat). If I raise the hood and wait 5-10 minutes it starts right up and then continues to run perfectly. I've recently noticed that the electric fan does not come on to dissipate the heat, although I really never noticed it it came on before I had the "no start" problem. The AC does work fine and I think I read that the electric fan comes on then.
Questions: Is there a way to get the electric fan to come on even when the AC is not on? Seems like I read that there may be a software tweek that you can do. Otherwise, has anyone tried a manual switch for the fan. Or a thermostatically controlled one? Other suggestions would be very welcome. BTW, I'm NOT very mechanically inclined.

 

So the jeep itself is overheating? Any coolant loss?

 

I'm sorry I confused. The Jeep does not overheat. The temperature gauge reads normal.
It's just the fuel vaporizing when I stop or turn off the engine and it won't restart for 5-10 minutes.

 

IF it is truly vapor lock then your fuel pressure is low, meaning a failing fuel pump. Borrow or rent a fuel pressure gauge to check.
Alternately it could be something electrical (like the ECU) that is cutting out at higher temps and then works again when it cools.
You'll need to do some testing and diagnosis on your end.
And yes, the electric fan should come on when that AC is running. Could be as simple as a bad relay.

 

On the 00-01 XJs the elec cooling fan does not come on with the AC like previous years.