Quits running as it reaches temperature

Do you have a check engine light?
Next time it quits-look for fuel and spark immediately don't wait for nothing-start here

What led you to the fuel pump? They rarely fail on Chrysler products while they're running. They typically fail to start up so they leave you sitting in the driveway. GM pumps typically fail while you're driving leaving you sitting on the side of the highway. Have you checked for spark when the engine stalls?

Crankshaft position sensors and camshaft position sensors commonly start to fail by becoming heat-sensitive, then they'll work again when they cool down. The first step is to read the diagnostic fault codes. If the problem occurred long enough the code will indicate the circuit or system that needs further diagnosis.