Look; I'm a woman; I DID have a child out of wedlock, and he's the light of my life. But if a woman is raped, that's a whole different ball of wax. I don't have a problem with getting rid of a bunch of cells that have no resemblance to a human being. No neurons; no pain; pain is felt about the 16th week.
We'll have to agree to disagree; but if you ever want to get leverage in this debate, you can't go for all or nothing.
If you're making an argument from the point of view of pragmatic political battles, then your observation is probably correct: this compromise would be more palatable to the electorate.
Of course, the child one moment subsequent to uterine implantation looks no more or less like a newborn child than one moment prior.
All in all, I would prefer to examine the road of punishing rapists far more severely than we're accustomed to punishing them.