I can tell you I have been through too many debates on this topic to seriously want to jump into another one, but I want to throw this idea out there.
Personally, I started off hating all abortions and zealously defending that position (which I still do, for the most part)...but enough debate has shown me there is nothing to be gained from two immovable sides of an arguement. The fact is this: abortion exists as a medical practice, and there are some (if rare) cases where I find it difficult to argue against.
Essentially, I think that the real topic of abortion comes down to the idea of responsibility towards your actions...as well as realizing the very real consequences that come of those actions.
Thats why I think abortion should only be allowed in these few specific circumstances: rape, and any situation where the mother would suffer serious physical or mental illness from delivery/prolonged pregnancy (supported by at least 2 doctors who can support the case). On another debate site, someone proposed my "compromise" was similar to the New Zealand policy on Abortion: link [en.wikipedia.org] (although I am unsure about a few parts of this policy). Either way, I think its a place to start, rather than saying all-or-nothing, which pleases much less of the population and really does no justice whatsoever.