I think most believe that overturning Roe vs. Wade would mean automatic outlawing of most abortions, and that's why a majority doesn't support overturning it.
Why wouldn't the overturning of Roe V Wade mean the outlawing of abortion? There are Republican majorities in both houses of congress, and a Republican president. I think it is reasonable to assume they would make it illegal.
Because any overturning of Roe v. Wade would leave abortion in its pre-1972 state, in which individual states determined its fate. It was legal in several states, including California, before 1972; presumably different states will have different laws.
It was legal in Utah as well, interestingly enough.