No, the kulaks were the farmers who had privatized. They were budding capitalists.
They owned a few cows or a plot of land and didn't want to become part of a collective. The Christian middle class, or what passed for a middle class, was the target. Kaganovitch was not hired to do the killing for no reason.
Rosa Luxemberg spelled out in detail how the communist should eliminate the underpinnings and leaders of the Christian churches as a means to convert the peasants to communism.