1996 dodge 1500 with a 360 will not idle after battery was drained.

I have a 1998 Dodge Ram 1500 and the very same thing happened to me after battery was drained completely. I did some research and found out what to do. Your computer in your Dodge has to relearn how to idle from your computer. Disconnect your negative battery wire from your battery and secure it out of the way without touching any metal, your positive wire should remain attached to the positive battery terminal. Now, turn key forward for 30 seconds, like you are trying to crank the vehicle, hold it in that position for 30 seconds. (not just turning it forward, turn all the way like you are trying to crank your vehicle for 30 seconds) After 30 seconds turn the key back to insert position. Connect your negative wire back to the negative terminal of the battery. Now start your truck and it should idle perfectly.
While i was doing this, i thought there was now way this is gonna work. That was 5 months ago and not a problem since. Hope this helps.

Once the battery voltage gets too low to run the ignition system then the engine will die,like you said.You need to get the alternator repaired or replace the control module that replaced the voltage regulator on these trucks.Either way,the truck is not charging the battery and it needs to be.