Does Christianity have any explicit position on Jewish matrilineality?

Among denominations which recognize infant baptism, in my experience, Christians — even those who are otherwise not really practicing — baptize their children as a matter of course. In cases where the father belongs to one denomination and the mother to another (i.e. Eastern Orthodox and Roman Catholic), the children are baptized in a church belonging to (and later follow) the denomination of the father. This might all be a secular custom more so than a religious prescription, but it seemed pretty clear that the religion is inherited patrilineally. For Jews religion is inherited matrilineally, which is an actual and important religious prescription. In a case where the father is Christian and the mother is Jewish, would the father in any way transgress against his faith if he did not have his children baptized? Or is this issue pre-empted by a prescription to only marry within the faith, in which case there is no religious position on the matter since the religious position would have been to not end up in this situation in the first place?