It doesn't deny Christ's divinity. It denies Mary's motherhood of God. Jesus was divine because He was God. He would have been God without Mary's ever having existed. He would have been God if he were never incarnated.
As to God and Father not being identical - are you now separating the Father from the Godhead??? Or are you backtracking and saying the Father is only a part of the Godhead and can be separated from the Son? (i.e., component parts of the one unit)
If Mary is not the mother of God, in other words, if the child whom Mary birthed is not God, then one of three heresies necessarily follows, as I pointed out in #1656.
As to God and Father not being identical - are you now separating the Father from the Godhead???
No. The Father is God, but the 'is' is not an is of [Leibnizian] identity. For the Logos is God too, but the Logos is not [numerically] identical to the Father.
Or are you backtracking and saying the Father is only a part of the Godhead and can be separated from the Son? (i.e., component parts of the one unit)
No. I'm not saying that at all.
-A8