Hello,
It sounds like you have a transfer case encoder that is shorted out. Here is the location of the part please unplug it and try the four wheel drive button to see if the engine still stalls. If the engine stays running replace the encoder.
Check out the diagrams (below). Let us know what happens and please upload pictures or videos of the problem.
Cheers, Ken
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Tuesday, June 5th, 2018 AT 9:56 AM