The reason Specter covets the Judiciary Chairmanship is so he can protect Roe v. Wade from those evil Republicans. Once you understand that, you realize that we can not put Specter in that position. Specter doesn't care about titles, he cares about results and Specter is willing to do anything to protect abortion rights.
I suspect Sen. Spector covets the chair not so he can protect Roe, but that he is power hungry and wants more of it.
Protecting Roe is something he desires, but not if it costs him the chair of the judiciary committee.