Turns off all of a sudden

Its probably the CDI box, they are notorious about different temperatures affecting them when they get old.

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unhook the battery for 30 min

What is your fuel pressure

Camshaft position sensor? Good call but not close. The crankshaft position sensor.This is located on top of the transmission bell housing.

check the crank sensor they cause this problem.

THIS COULD BE A THROTTLE POSITION SENSOR (T.P.S.). IF THIS GETS WORSE THE WARMER IT GETS YOU MIGHT ALSO WANT TO CHECK YOUR COIL(S).

If the car starts and runs fine when you first start it in the morning or when its cold from sitting for a few hours after driving it but won't start if you drive it somewhere and get the car upto operating temp and then shut the car off and try to restart it with a few mins or upto a half hour basically when the car is hot then you might be looking at a bad crankshaft position sensor. A bad crankshaft position sensor can keep the car from starting mostly when its hot. If the engine control module doesn't see that signal it doesn't know the engine is running so it never sends fuel to the injectors.

check ur igniter module it needs to be replaced or ur wirerinb to the module

CK YOUR CRANCK SENSOR MAKE SURE IT'S THE RITE YR AND TYPE FOR YOUR JEEP. THEIR IS A DIFFERNCE FOR A SEQ OR BATCH FIRED SYSTEMS!!!

TRY CHANGING IGNITION COIL