What are similarities and differences between John the savage and Bernard Marx in Brave New World. Although they were raised very...

I do not think that these two have much in common.  Bernard and John are both at least somewhat dissatisfied with the brave new world, but I am not sure that Bernard's dissatisfaction is real.

Look what happens when Bernard becomes famous because of John.  He starts to really embrace the society -- he changes his attitude towards sex and towards getting ahead in the society.  I do not think that he is really dissatisfied with the society per se.  Instead, I think he is dissatisfied with his place in the society.

John, on the other hand, really is dissatisfied with the society.  He is more honest than Bernard and more committed to his convictions.  That is why he kills himself while Bernard begs not to be exiled.