John 2:1 On the third day there was a wedding at Cana in Galilee, and the mother of Jesus was there.
John 2:3 When the wine ran out, the mother of Jesus said to him, "They have no wine."
Acts 1:14 All these with one accord were devoting themselves to prayer, together with the women and Mary the mother of Jesus, and his brothers.
Renaming Mary puts one at odds with the Holy Spirit. HE is the one who chose to assign the title of *mother of Jesus* to Mary. No doubt if He had thought that the term *Mother of God* was more accurate or reflected more accurately who Jesus was, He'd have used it.
But since the term *mother of God* does not address Jesus at all, it then makes the whole thing about Mary and leaves Jesus out of the equation.
Since God is used for the Godhead and the Father, then using that term *mother of God* does not imply in any way, that it's Jesus who is being referred to as it could as well mean the Father or the entire Godhead.
All the term *mother of God* does is muddy the waters.
The term *mother of Jesus* leaves no doubt about which member of the Godhead is being referred to.
You are forgetting one thing: The Christians who have called Mary “the Mother of God” have not been morons.
Only a moron who knew absolutely nothing about Christianity could imagine that the title “Mother of God” meant anything other than what it has always meant: Mary is the mother of Jesus, who is God.
No Father of the Church, no bishop, no council, no Pope, has been the kind of low-grade moron that one would have to be in order to think that Mary could be the Mother of God the Father, or the Mother of the Trinity.