Emmy I believe you are trying to write for his Baptismal record? They would be far less detailed than the civil record. Essentially the only information recorded (typically) would be the date of baptism and birth, names of parents and names of godparents. And the church is going to send you an extract of what THEY have, never a copy of the original.
I believe you can order a copy of a full photocopied birth record from the Province Archivio. I did this for my great-gr-gr grandfather from Messina (it hasn't arrived yet). That would (naturally) include everything on the original civil record, the best you could hope for.