Did (would) Ayn Rand support the holocaust?

No. She (and Ayn was a woman) only reads like a fascist dictator wannabe. Rand (born Alisa Rosenbaum in Tsarist Russia) came from a Jewish family herself. It is safe to regard her entire body of work as a hysterical reaction to Bolshevism. Nazism was in that same vein, but racial hatred is not characteristic of Rand.