First, some (usually non-religious) people dismiss the pro-life position from public consideration by claiming that it rests on the "religious" view that an unborn human being has a soul. But no one dismisses my opposition to murdering teenagers on the grounds that it rests on a "religious" view that teenagers have souls. Pro-lifers oppose killing the unborn for the very same reason they oppose killing teenagers -- because the victims are human beings, and it is wrong to kill innocent human beings. No appeal is made to souls or religion (although I do not believe that such an approach is automatically illegitimate).
The nature of the human person does play a crucial role in determining the ethics of abortion -- it plays that same role in determining the ethics of any kind of treatment of human beings -- but all sides of the abortion debate necessarily reflect a particular metaphysical perspective. Arbitrarily ruling one side out of bounds is not legitimate.

Especially for those "ensoulment" theorists who are Christians of some kind, this view is bizarre and impossible to justify biblically. Nothing at all in the Bible suggests that there could be such things as "soulless" human beings whom we may therefore kill. On the contrary, the Bible says God made man (human beings) in His own image -- not some men, but all men. This is affirmed by many passages that imply that I am identical to my prenatal self, and that God cares about human beings in the womb. If my soul is my immaterial self -- me -- then biblically that soul has existed from conception, because the Bible implies that I have existed from conception (e.g., Psalm 51:5, Luke 1:41-44, Psalm 22:10, Job 31:15).
(Apparently the Catholic Church is agnostic on the precise moment of "ensoulment," but holds that it is irrelevant to the ethics of killing an unborn human being, which is a serious moral wrong.)