"One day, when an AI is sophisticated enough to be classifiable as a 'Person'"
It never will be. Masses of current neurophysiological and neuropsychological research emphasise that the brain is primarily an interface between the world and your body. It's also vastly complicated, much more so than any conceivable piece of IT. Consequently, the model of AI is fundamentally irrelevant.
The brain's capacities for pattern matching and weighted reasoning (what AI relies on) are not what it's for - they're just part of how it accomplishes what it's for - orienting the person in the environment with survival and perpetuation of the individual and the species as primary drives. See Damasio "Descartes Error" for a very readable account.