And abortion is not just a medical procedure, there is a third party involved: the baby. Now I find the religious view that a baby exists as soon the sperm touches the egg ridiculous. But I find equally ridiculous the dismissal of a viable baby's life implied by calling it just a "medial procedure".
The reality is that there is likely a broad consensus in the US for legalising abortion up to 12 weeks, the way it is in most of europe.