I think the basic stumbling block in the typical abortion dialog isn't the criteria of personhood, it's that people don't like to deal with the real, practical reasons why you shouldn't kill people.
The basic reasons why murder is illegal are:
A. In general, people are much more valuable to society alive than dead. This does not apply to unwanted babies.
and
B. Attempts to legally identify the people who would be better off dead are prone to dangerous corruption and irreversible error, the costs of which far exceed the benefits. Again, this does not apply to unwanted babies.
Abortion is ALSO frowned on because
C. It denies someone their potential life. But why is denying an actual person their potential life worse than denying a potential person their potential life? They would both end up as real people, with real lives. Why is one life more valuable? If this makes abortion evil, why isn't contraception evil?
Finally there is
D. Dying hurts. This isn't necessarily true, and even if it was, dying hurts a heck of a lot less than living. This objection is rarely explicitly voiced, because it's very weak.
The basic reasons why murder is illegal are:
You left out what I would have said is the most basic reason murder is illegal. Simple self interested cooperation. A wants to be free to kill his enemies but really doesn't want his enemies to be free to kill him. B wants to be free to kill her enemies but doesn't want her enemies to be free to kill her. C, D and E have similar preferences. By mutual agreement and alliance they each sacrifice their right to kill other people so that they are less vulnerable to be killed themselves.
Naturally they attempt to wr...
A few years ago, I wrote a little dialogue I imagined between 2 materialists, one of whom was for and one against abortion, centering on the personal identity question. I recently cleaned it up and added a number of references for the biological claims.
You can read it at An Abortion Dialogue.
Early feedback from #lesswrong is that it's a 'nicely enjoyable read' and 'quite good'. I hope everyone likes it, even if it doesn't exactly break new philosophical ground.