Hi,
You know, it does sound like a weak alternator. I need you to do a simple check. Follow this link for checking an alternator. I want you to have a helper in the vehicle while checking to see what the voltage at the battery does when you turn the heater on.
One other thought. On vehicles, if you have the defroster on, the AC compressor will turn on to help dehumidify the air entering the vehicle. It's even possible the compressor is locking up and stalling the engine. That is only a theory at this point. But to be honest, the heater in and of itself, does nothing other than the blower motor drawing power. That's why I'm thinking it is a weak connection at some point. Does the blower actually turn on?
https://www.2carpros.com/articles/how-to-check-a-car-alternator
https://www.2carpros.com/articles/how-to-use-a-voltmeter
One more thought. If you have a weak connection at the battery or the main ground, that too can cause an issue, so check those things as well.
Let me know what you find or if you have other questions.
Joe
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Wednesday, January 29th, 2020 AT 6:57 PM