Not having proper voltage to run the engine computer will most certainly cause a shut-down. Jeeps do not tolerate low voltage, bad connections, or poor grounds.
Perform routine maintenance of the start and charge systems. Remove, clean, and firmly reconnect all the wires and cables to the battery,starter, and alternator. Look for corroded or damaged cables or connectors and replace as needed. Copper wires should be copper color, not black or green. Do the same for the grounding wires from the starter to engine block, the ground wires at the coil, and the ground wires from the battery and engine to the Jeep's frame/body. You must remove, wire brush, and clean until shiny the cable/wire ends and whatever they bolt to.
If symptoms persist have the battery Load Tested. Consider that the Crankshaft Position Sensor (CPS) may be in need of routine replacement, as a faulty CPS can cause unexplained stalling.
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