Dying when stopping?
Torxhead
Always Off-Roading Jeeper
The next time it stalls out, check for vacumn on the gas tank by removing the fuel filler cap. If you hear air rushing in as you remove the cap this would indicate that there is no venting for the tank. As fuel gets sucked out of the tank a vacumn will create and it can affect getting fuel to the pump. A less expensive Jeep repair manual will show you how tanks vent system is set up using the charcoal canister along with a few other items.