Except you don’t really “adhere to” a book like 1984 or Brave New World or Fahrenheit 451. They don’t tell you how to live your life. They pose questions, spark thought and reflection about how governments in the real world might resemble (or not resemble) a totalitarian fictional state.
I read those books in high school — I also read this one. Yes I was enthralled by it, yes, it pushed me in the direction of libertarianism (Ron Paul 2008, baby!), and yes, I also grew out of it.
Indeed — Ayn Rand is a different kind of author than Orwell or Huxley or Bradbury. Through her fiction, she very much tried to tell people how to live their lives, and to shame those who can’t or don’t want to live up to her vision of an ideal man. It’s a more rigid mindset and has attracted a more cultish devotion. To the point some have literally named their own kids Rand (see, famously: Rand Paul) or changed their own names to John Galt. Even though Objectivism is formally atheist, there are a lot of Christian-Right Ayn Rand devotees. A clue as to how the appeal of her brand of “libertarianism” is actually pretty damn authoritarian.