Cazorla isn't as good as Cesc.
I see them as different types of players. Cazorla is a way better athlete than Cesc. He doesn't have the passing range, but he has that rare ability to control the game from between the lines. He's a classic Spanish media punta. Cesc developed that ability after Wenger forced him to play behind the striker in 2008, but he is a player who seems most comfortable facing the game head on with the ball at his feet. Cesc developed a directness to his game that makes him a supremely efficient player, but Cazorla has the ability to dictate play to the opposition much closer to goal. If there is anyone Cazorla reminds me of, it's Bergkamp, except Cazorla is quicker and has an amazing left foot. He's much less of a goal threat than either Cesc or Bergkamp, but his effectiveness can be seen in how much better Ramsey and Diaby have been playing this season. He gives a traditional runner CM an option to play the ball to in a forward position between the lines.
In general, Bergkamp and Cesc were concerned with playing the final ball. Cazorla can play a beautiful final ball, but he seems more interested in playing the pass before the final pass, if that makes any sense.