Have you looked at the lemon law? Do you have records of how many days its been in the shop? You have rights that they can't simply ignore. Your experience doesn't reflex that of others here. Toyota builds lemons too and they are allowed that to some extent.
So much this! The problematic vehicle is also located in CA, which has some of the most consumer friendly lemon laws in the entire country.
There has to be an amicable solution to this, doesn't mean that it isn't still a headache to resolve though.