Bridegroom's Father Name on Marriage Contract

As-salamalaykum, I am a revert and my father is a non Muslim. I am getting married in next couple of Weeks In Sha Allah. The Qazi who shall conduct the marriage is not ready to write or say my non Muslim father's name with my name. E.g Ayaan ibn Santosh Saini He say he will change my father's name on Marriage contract(Nikahnama) e.g Ayaan ibn Bilal Kabeer. Is there a Islamic ruling on this to not use non muslim father's Name during Marriage. Note my father is not going to come to witness this marriage. Bilal is my Friend.