Honestly I have never heard of such a thing and that is either a major defect, or the dealer tried selling you an LTZ that wasn't an LTZ. Do you have automatic climate control? That is only available on the LTZ, so you can quickly tell if it's a major defect or not.
Sorry but how can you not notice that you had chrome handles on one side and not on the other? Was it dark out when you purchase the car? Anyways, it should just take 10 to 20 minutes for the dealership to take care of it. Qual control at the plan really sucks ah!
They had to get the car from another place and when I picked it up it was raining so I could not check out the exterior too good. They are the real handles and not covers. It seems to be a factory screw up.