Transfer Case problems of the 2011 GMC Terrain

I purchased my car brand new in April of 2011. I didn't even have it a year and I had to take it in 3 different times for stalling. The engine light never came on therefore they couldn't pull a code to know what exactly was wrong but because it was under warranty, they just started replacing parts. The very first time it stalled they told me to watch what kind of gas I was putting it. They told me to try only going to mobil, bp or shell. I shook my head the whole time they were saying this but to rule it out for them, that's what I did. Obviously that wasn't the problem. Then, upon a cold start, the engine was very loud and made a rattling noise. Again, no engine light. The whole time I've had the vehicle it hesitates when pulling into traffic sometimes. Sometimes the kick back it gives off is so big that it actually jerks your body forward. I've had the car for 6 years and have over 10 receipts from dealerships for taking it in over the yrs. They have "replaced/fixed" cam auctor solonoids, actuator, tensioner, timing chain, catalytic converter, gasket, manifold and piston. . To name a few. The other day I noticed a slight grinding noise when turning right. I went straight home and was going to have my friend listen to it so we could figure out where it was possibly coming from. Within 2 hrs just sitting in the driveway the grinding became 20x worse and extremely loud! I couldn't even back it out of my driveway without it sounding like my whole entire engine was going to fall out. We were thinking it was the transfer case/transmission. I had to have it towed to the dealership where they called me a few hrs later only to confirm it was the transfer case and it will be $2,400 bc it's no long under warranty. I have numerous receipts showing ongoing issues with this and other things. I'm furious and disappointed. I bought a new car to feel safer in and I haven't felt that once!.