His morality would probably be slightly less reprensible, but he would still be absolute bat-shit crazy scum.
He might be worse. If Catholic Jack is a hardcore Anti-Vatican II person he might reject the legitimacy of the pope, and head off into the wilderness of Gibsonian cults, where he's right but every other Catholic is
wrong.
Or he may remain ostensibly loyal to the Vicar of Christ yet be crazy for anti-Semitism, holocaust denial, support for abortion-clinic bombers, the IRA, etc. (How big a role does Roe v. Wade play in OTL's 'Chick tracks'?)
There is a Rock Chopper tradition of crazy polemics, I suppose. We think of Father Coughlin as having been purely political, but his stuff was firmly based in an extreme version of Catholicism.
It occurs to me that the popular image of Protestant Chick is of a guy whose hatred for the 'Whore of Babylon' outweighs all other considerations. Jack as we know him today isn't exactly a conventional FoxNews nutter, now is he?