Well, they've got another foot in the door with their interference with private medical procedures (uh, concerning women's "private partes"). I hope this isn't one of those "slippery slope" thingies, but apparently Kennedy's supposed to vote with the conservatives, because he's a "Roman Catholic Reagan nominee":
Abortion cases are difficult for the court, and in the past they've been particularly trying for Kennedy. He agonized over his 1992 vote to reaffirm a woman's right to abortion. That decision enraged conservatives, who had expected the Roman Catholic Reagan nominee to help overturn Roe v. Wade, the 1973 case that established a constitutional right to privacy that protects abortion rights.
Well, they should be happier this time.