And there is EXACTLY where your problem lies. You apparently adhere to the notion that the government gives us rights - when instead we are endowed with rights under the Declaration and Constitution and government is supposed to exist to protect those rights. A fetus only needs one right - the right to be left unmolested until it is born. If a mother does not want that baby, there are many, many people willing to adopt it.
Once again, legislatures and the courts have seen fit to force unwilling fathers to financially support their offspring for years - but are unwilling to force a woman to bear a fetus to term for a few months. Quite a paradox, one that is resolved by declaring a child human and a fetus as something less.
It is easy to argue that a late term abortion should be illegal but you claim a single-celled human has an equal right-to-life which trumps any right of the woman to make a decision about that humanity. Endowment with rights comes from our humanity not the scientific technicality of having complete DNA.