Why do you get these implications? Should we change the facts of the Incarnation to avoid them? Change who Jesus is? If you get that Jesus is not God because He had a mother, then just drop it.
He is God, He had a mother, her name was Mary; that's the fact of the Incarnation.
Here are a couple interesting things to ponder:
The original sin was passed down through Adam or to say the man's contribution to the fertilization. If the Holy Spirit used Mary's egg and provided a perfectly holy “sperm” male half of the genetic package, Jesus would not have been subject to the original sin. He also would have maintained his lineage back to David and Judah because of Mary's genetics.
I personally believe God was foiling Satan's plan to destroy the Messiah in this way, by bypassing the curse that Satan inflicted on the first couple Adam & Eve.
The alternative is that the Holy Spirit provided the perfect and Holy entire genetic package sans Mary's egg, which of course He is capable of doing. This would negate the lineage that is so stressed throughout the Old Testament.
Either way, Mary's necessity of being being Deity is removed from the equation, and makes the most sense based on the text. She may have contributed the egg, which would make her the mother of Jesus, but not need the perfection that calling her God's mother necessitates.