Very nice but I suspect, based upon her prayer, Mary would be the last person who would want people to worship her. Her joy was in God the Savior and in what He has done for her and others.I am sure you are correct in that. That is reflected in Catholic teaching and practice. We venerate the Saints and Mary is venerated as a Saint and given special veneration as the Mother of God. Not worship but respect.
She became the Mother of God, in which work so many and such great good things are bestowed on her as pass man’s understanding. For on this there follows all honor, all blessedness, and her unique place in the whole of mankind, among which she has no equal, namely, that she had a child by the Father in heaven, and such a Child . . . Hence men have crowded all her glory into a single word, calling her the Mother of God . . . None can say of her nor announce to her greater things, even though he had as many tongues as the earth possesses flowers and blades of grass: the sky, stars; and the sea, grains of sand. It needs to be pondered in the heart what it means to be the Mother of God.Your final point is just odd. Why did you say:(Commentary on the Magnificat, 1521; in Luther’s Works, Pelikan et al, vol. 21, 326)
She didn’t give thanks to Abraham or Moses.
Our Lord plainly tells us we are not to make images of anything on earth. Nor are we to bow down to those images. Now the real question is why, when given such clear and explicit instructions in scripture, would we go about doing exactly what the Lord God tells us not to do? But this is our sinful nature to willfully go against God's instructions.
Your final point is just odd.
Not really. Mary did not prayed or gave thanks to Moses. She prayed and gave thanks to God. One has to wonder why some feel the need to pray to anyone other than the Trinity.