Nah. He's the next Czar.
Or so he hopes.
The man is not driven by ideology, even though he's been a Communist for virtually all of his professional life. He's a nationalist.
The Russian Empire was taken over by the Communist Party under Lenin. It broke up when the Soviet government did. The Bear is roaring back. Putin would be the Bear's master. He seeks to reconsolidate the old Empire of Peter and Catherine.
To be Hitler, he would need to have another ambition: to exterminate for the sake of extermination. He doesn't appear to be there.