The little word of *a* makes your whole argument meaningless.
Dorothy is the mother of Sam.
Sam is a fireman.
Dorothy is the mother of a fireman.
This would be more comparable.
Mary is the mother of Jesus.
Jesus is *a* god.
Mary is the mother of *a* god.
That’s very desperate on your part. And pathetic. Your little suggestion changes the meanings of the propositions, but it absolutely does not touch upon the VALIDITY of the syllogism.
You don’t seem to know what the science of Logic is actually about.
Mary is the mother of Jesus.
Jesus is God, i.e., the incarnate Word, i.e., the Second Person of the Trinity.
Mary is the mother of God, i.e., the incarnate Word, i.e., the Second Person of the Trinity.
Mary is the mother of Jesus. As with all mothers and children, whatever the child IS, the mother is the mother of THAT. I.e., if the child is a pianist, and blond, and a Methodist, his mother is the mother of a blond, and the mother of a Methodist, and the mother of a pianist.
Jesus is a man, who is Jewish, who is God. Thus, Mary is the mother of a man, and the mother of a Jew, and the mother of God.