Yikes! Some of these dckiddos really give us a run for our money! I have a similar situation with a part timer who comes on Wed only. He clutches mom and screams "Mommy" its AWFUL. Tuesday night before I have so much anxiety about his morning drop off. His behaviour doesn't upset my other kids as they are napping and he arrives at 10.
I would ask Dad to drop off in a different area and make it as quick as possible. Have something ready that this kid likes, their fave toy or book, or if all else fails a highchair or playpen ready to put them in until they can calm themselves.