Brave New World doesn't really work well as a tool to criticise "woke", this is a bad angle. If we lived in Brave New World, people wouldn't fight for their ideas about social justice because they'd be hypnotically conditioned to love the social status quo and their place in it from birth. A huge part of Huxley's premise is that social change can't happen in his dystopia because nobody feels any need for it despite the obviously dystopian underpinnings of the supposedly "happy" world.