For Jesus, regeneration trumps generation, that is the new birth is bigger than natural birth.
Blood may be thicker than water, but Jesus’ blood is thicker than ours, creating a newer, truer, eternal family. By blood we are all related to Adam, and in Adam we are all guilty and polluted. By His own blood we are now related to Jesus, and in Jesus we are justified and cleansed. In Christ we are adopted. Our primary identity and allegiance is no longer to any earthly family, but a heavenly one.