I don't feel that the drive to be excellent and be recognized would exist in Brave New World. It's wiped from peoples minds through their subconcious tape learning, and the culture's ingrained class system.
The citizens of Brave New World would never say, "I wish I was an Alpha..." and then defect. The Betas and Gammas and whoever all learn that the people who shine are meant to, and if you don't then you were bred not to be special.