Correct me if I'm wrong here but I don't think Specter made this promise during the election, did he? Kemerer is responsible for the vetting process. If he fails in that responsibility surely he would be fired and replaced. If anything he's going to be extra cautious in the vetting process because he'll know there's a target on his back. Remember, Specter can always override him.
He made a promise to those that promised to support him for Judiciary Chair and he went back on his word. Is that integrity?
Yes, it is, because he is more concerned about representing those who voted for him, and protecting American's freedom, than giving in to a bunch of intolerant religious.