You are strongly misrepresenting the actual situation. AMD is painfully aware that their drivers lack compared to Nvidia but they disagree with the reason. AMD does not want to put nearly as many hacks into the drivers as Nvidia does. They went quite far (by making Mantle) to make the drivers leaner and more predictable.
Nvidia traditionally detects misbehaving game code and patches it up with various degrees in the driver.
> AMD didn't set out to do anything: once again they sabotaged themselves by not getting involved.
AMD made the right step and backed the only thing that will evolve the situation from the status quo: Mantle and now Vulkan/DX12. Otherwise they would always end up playing this game of magical drivers that NVidia supports but nobody likes.