This pretty much puts lie to that particular meme:
The Supreme Court, as expected, refused on Monday to allow an Atlanta woman to reopen the 1973 ruling that was a companion case to Roe v. Wade. The case of Doe v. Bolton, also decided Jan. 22, 1973, added to Roe by restricting the medical requirements imposed on the abortion option. Sandra Cano of Atlanta, who was the "Mary Doe" of that case, asked the Court to reopen her case under federal court Rule 60 (b). Her appeal was denied without comment, and with no indication of any dissent. (Doe v. Bakerf, docket 06-162).
If Alito, Roberts and the rest of the conservative court were truly out to reverse Roe there is no way that they would have denied hearing this case.
Not that the left will ever admit a mistake or shut up with all the dumb conspiracy theories.