I take a different tact. I disagree with your father, but I would baptize my children if it was the dying wish of a parent.
I would rather have compassion for the dying, then be so hell bent on my need to prove the strength of my convictions, that I would deny them that wish.
It doesn't matter, because baptisim doesn't matter. You end up making a symbol out of a symbol you don't agree with by refuting it. It is meaningless to me. But I love my parents, and if it's meaningful for them so be it.
It would be a different matter, if they expected me to actually teach the religion they have been baptized under.