"The appellee and certain amici argue that the fetus is a 'person' within the language and meaning of the Fourteenth Amendment. In support of this, they outline at length and in detail the well known facts of fetal development. If this suggestion of personhood is established, the appellant's case, of course, collapses, for the fetus' right to life would then be guaranteed specifically by the Amendment."-- Justice Harry A. Blackmun, Roe vs. Wade, 1973
Keep in mind that your quote was written by the author of Roe v. Wade. If your interpretation is correct, then why are the Republican candidates talking about overturning Roe instead of simply passing a federal statute establishing personhood?