“Though technically someone with a Christian father is also Christian.”
That sentence is not true. Anyone with a Jewish mother is Jewish and not a christian. Perhaps what you meant to say is: “The christians mistakenly think that anyone with a christian father is a christian even if the person’s mother is Jewish. However, they are wrong, since such a person is 100% Jewish.”
In any case, the christians think that everyone is meant to be christian. As far as I know, they have no concept of being christian by birth. Maybe you mean the Muslims?