Infiniti of Livermore Service Center

I am not usually a complainer and I am willing to pay for needed work however Infiniti of Livermore (car dealership) has me stuck in a difficult position with a repair they should own up to, I’ve had the worst experience with the service team mainly Michael Troche. I bought a brand new QX56 and started having issues with the car not starting in high temperatures… stranding me and my family with 2 young kids. I brought the car in to correct the issue however the service staff could not diagnose what was wrong or reproduce the issue. This was not a battery issue however every time we brought the car in they told me it was the battery. We have replaced the battery 3 times in 4 years… however the issues still exist. We were stranded again 2 weeks ago when it was hot and decided enough was enough. That’s when the service «manager» told us that this is «your problem» and in order to diagnose the problem, it will cost you a minimum $ 165 even though you have brought the car in 3 times before (twice under warranty). Michael Trouche provided one of the worst unprofessional customer experiences I have ever experienced especially considering we purchased the car from their dealership new and Michael was the initial service rep to service the vehicle under warranty. I think he is covering up for his past mistakes and short-​cuts. Unfortunately, Michael is also passing on the hundreds (potentially thousands) of dollars in cost back to us. Our car has only 51K miles on it and we paid over 50K for it new. I have only service my car at this dealership for ongoing maintenance. They are going to lose my business now and in the future. I have reported this experience with Infiniti Consumer Affairs however they are also backing the dealership for making me pay out of pocket for repairs that should have happened long ago.
This is not the reliability and service we expected from owning an Infiniti or any other car. They have me stuck with an unreliable car without having to pay for the repairs of their defective parts.
I’d really appreciate any help an assistance you can provide. At a minimum, I’d like the public to be fully aware not to take a dealerships lack of diagnostics (in this case. just replace the battery) as a resolution to a mechanical issue. If it isn’t taken care of under warranty, they will not do the right thing even if it is reported.