Privacy has nothing to do with abortion.
Regarding a woman's choice, no one is trying to deny a woman choice. Any woman has the right to allow a man to ejaculate inside of her. No one is trying to deny that right. However, the consequence of that 'choice' can in all likelihood result in the creation of a new human life. Once a choice leads to that result, that other life demands consideration by a government created in part for the public welfare.
You say privacy has nothing to do with abortion. I would say your argument is not with me put with the Supreme Court ruling in Roe vs. Wade which drew its conclusions very much from the previous ruling of Connecticut vs. Griswold.
The SCOTUS ruling used privacy as the reasoning for striking down all state abortion laws. Abortion laws which were arrived at by proper legislative action and not by court fiat.
I am pro life and would rejoice to see Roe vs. Wade overturned. At that point the question should return to the States. I don't doubt to my sorrow that some State's would have liberal abortion laws. As they did before Roe vs. Wade. But at least then the pro life movement would have a real chance to see progress in fighting against carte blanche abortion.