Step-parent adoption with birth father concerns

We had new clients today for a step-parent adoption. This was a typical situation where people waited to think about step-dad adopting until biological father started coming back into the picture. There had be no contact from bio-dad for 19 months. Now he has started calling and saying he wants to see the child, a 4 year old boy. This man has NEVER paid any child support and has never parented. He had visited in the past but visits are not parenting. Under California law this man is known as an alleged father. He was not married to the mother, never lived with her and his name is NOT on the birth certificate. We filed the adoption petition today and filed a petition to terminate the parental rights of the biological father. He may answer our petition, but does not have grounds to win, as he has never supported or parented the child.