Trust me, conservatives really don't want their hands on your body any more than you want your hands on ours.
The question that pro-abortion people fail to answer is does a mother have the right to touch the body of the unborn child and if so, based what? Science? Morals? Is it because the DNA of the mother is the same as that of the child (it's not)? Is it only after gestation as elapsed past six months? What's so magical or special about six months, especially since viability outside the mother's womb is now months earlier? What tolerance do you give to that six month period, plus or minus 2 weeks?