The pro-life side wants to stop abortions by overturning Roe v. Wade. Problem is, Roe v. Wade actually had very little to do with abortions. It never answered the central question of abortion legality, which is "is the fetus a living human baby or simply a clump of cells?"
Now I personally believe it is a living human baby, but Roe v. Wade had nothing to do with that question; and in fact, no court case nor any legislation has ever dealt with that issue. What Roe v. Wade answered was the question, "who has control over a woman's body, the woman or the government?" The Supreme Court said what you must now argue, that the woman controls her own body.
If the pro-life side were to overturn Roe v. Wade, they still would not legally be defining a fetus as a living human baby and so still would not be making abortion illegal. What they would be doing is saying that the government controls women's bodies, and by extension all of her medical decisions. In fact, with the pro-life side handing control of women's bodies over to the government, while simultaneously not defining a fetus as a separate body, the pro-life side would actually be giving the government the fully LEGAL right to FORCE a woman to have an abortion, even if she did not actually want one.
Summary point here--------->Because while the pro-life side took the choice away from women who would have chosen abortion, they had to do it by taking the choice away from women who would have chosen life. The pro-life side would effectively be GUARANTEEING that abortions occurred, even for women who would not have chosen one had they had their own choice.