FYI the alternator does not regulate the voltage...that is done by the PCM so it could also be a bad PCM. Usually the diodes go bad on the alternator. In fact on challengers there was a recall on the earlier years as the diodes were leaky. These rigs use an IBS (intelligent battery sensor) which monitors state of charge and temp of the battery, and it can go bad causing batteries to register incorrectly as well.
BTW have you tried putting the trans in neutral just before coming to a stop to see if you feel the shakes or notice if the RPM drop/bounce around? I am wondering if it could be a trans issue, like it stays in a higher gear causing RPMs to drop? My 2017 GT downshifts when I come to a stop to the point that you feel each gear drop...especially the one to 1st gear and that is in eco, normal and sport mode.
But like everyone is suggesting, get the batteries replaced. Mine were original and I noticed in cold weather the Stop/Start would always say it was in battery protection mode. Just replaced both with Bosch brand batteries and now it works in cold weather (although I keep it off during winter). Did not load test the aux one but my tester states the condition of the battery is good based off CCA which is 200amps. When replacing the battery, disconnect the IBS first and then the negative of the aux battery followed by the main battery negative cable...then install in reverse order. Also pay attention to the aux battery positive terminal as the FSM has it labeled incorrectly.
I was sitting at a stop light, and my Durango cut off with absolutely no warning. I finally got it to crank and got it home. The next day it won’t crank at all. The cab lights and dash lights come on, but when I push my start button, it just clicks and won’t turn over. We tried to jump it off...
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