i think a large problem with that is that the offshoot campuses are almost always subpar to the original. Sure the degrees will still say Stanford, but the smart people will all go to California...NY Stanford will be their safety school
Step one: "Hey big-name famous professor, want a job at Stanford NY? We'll pay you $big_face_money and you'll get all our fancy new facilities, plus the Stanford name, and whatever the hell else you want." Repeat 200 times.
Step two: The professors attract the grad students.
Step three: The grad students create the ecosystem.