Stalling while driving

The place to start is by reading and recording the diagnostic fault codes. Chrysler made doing that yourself much easier than any other manufacturer. Cycle the ignition switch from "off" to "run" three times within five seconds without cranking the engine, leave it in "run", then watch the code numbers show up in the odometer display. Post the numbers in your reply and I will interpret them for you, or you can go here to see what they mean:

https://www.2carpros.com/trouble_codes/obd2

It sounds like you have a PCM that is going out. That's what happens when you get an interruption code.

But to be safe please check the battery cables for corrosion and connection.

Here is guide to help you

https://www.2carpros.com/articles/everything-goes-dead-when-engine-is-cranked

Please let us know what you find. I'm interested to see what it is.

Cheers, Ken

Here's one thing you need to be aware of, although I don't think this will address all of the problem. When the battery is disconnected or run dead, the Engine Computer loses its memory. Most of its learned stuff will be relearned while you're driving, without you even noticing, ... Except for "minimum throttle". Until that is relearned, the computer will not know when it must be in control of idle speed. The engine may not even start unless you hold the accelerator pedal down 1/4". If it does start, it might stall when you shift into gear, it will tend to stall at stop signs, and you won't get the nice idle flare-up to 1500 rpm at start-up.

You have to meet the conditions for the relearn to take place. To do that, drive at highway speed with the engine warmed up, then coast for at least seven seconds without touching the pedals. Until that is done, idle speed will be too low. This causes staling due to low engine speed. It will not cause stalling while you're driving.