Many people opposed to abortion change their minds when they themselves are the ones needing abortion. IOW, you don't really know what you would do until it IS you.
"The Only Moral Abortion is My Abortion" - When the Anti-Choice Choose
"Abortion is a highly personal decision that many women are sure they'll never have to think about until they're suddenly faced with an unexpected pregnancy. But this can happen to anyone, including women who are strongly anti-choice. So what does an anti-choice woman do when she experiences an unwanted pregnancy herself? Often, she will grin and bear it, so to speak, but frequently, she opts for the solution she would deny to other women -- abortion....
Although few studies have been made of this phenomenon, a study done in 1981 (1) found that 24% of women who had abortions considered the procedure morally wrong, and 7% of women who'd had abortions disagreed with the statement, "Any woman who wants an abortion should be permitted to obtain it legally." A 1994/95 survey (2,3) of nearly 10,000 abortion patients showed 18% of women having abortions are born-again or Evangelical Christians. Many of these women are likely anti-choice. The survey also showed that Catholic women have an abortion rate 29% higher than Protestant women. A Planned Parenthood handbook on abortion notes that
nearly half of all abortions are for women who describe themselves as born-again Christian, Evangelical Christian, or Catholic. (4)
According to a 1987 article, Abortion Clinics' Toughest Cases,(5) "Physicians and clinics frequently terminate pregnancies for women who believe abortion is 'murder' and 'a sin' but who are not anti-abortion activists.....
Many anti-choice women are convinced that their need for abortion is unique -- not like those "other" women -- even though they have abortions for the same sorts of reasons. Anti-choice women often expect special treatment from clinic staff. Some demand an abortion immediately, wanting to skip important preliminaries such as taking a history or waiting for blood test results. Frequently, anti-abortion women will refuse counseling (such women are generally turned away or referred to an outside counselor because counseling at clinics is mandatory). Some women insist on sneaking in the back door and hiding in a room away from other patients. Others refuse to sit in the waiting room with women they call "sluts" and "trash." Or if they do, they get angry when other patients in the waiting room talk or laugh, because it proves to them that women get abortions casually, for "convenience". "
You might possibly be successful in criminalizing abortion, but you won't end it. That's been tried and failed. Of course, a lot of women died unnecessarily.
Abortion in American History
"Nonetheless, having achieved their legal goal, many doctors -- including prominent members of the AMA -- went right on providing abortions. Some late-nineteenth-century observers estimated that two million were performed annually (which would mean that in Victorian America the number of abortions per capita was seven or eight times as high as it is today). "