Everyone thinks the way this will work is humans will be arguing amongst ourselves about if AIs are people. This is a funny example of begging the question. When it starts, it will be because certain AIs successfully persuade many smart, clear-headed humans that they are people.
No, YOU need better arguments. "AI is a person if it can behave like a person" is an argument that could be made for the animatronics at Disneyland. Unless you can show me that an AI is having a felt subjective experience of its own being, it's as much a person as a calculator.