To reiterate, my main point was that there's no reason to assume Alito's position on execution will be the same as that of the other conservatives on the Supreme Court, certainly not just because of their mutual Catholic faith. Alito's lower court record was mixed, and some of his decisions were overruled by the conservative wing of the Supreme Court.
And as for my referencing Alito's Catholicism, my only point was that people who hope that he rules consistent to that on abortion or church/state issues should not then complain if he rules consistent to that on execution. I'm not saying it will be because of his Catholicism.
But for those who did in fact hope that Alito's faith would influence his rulings, then they should bear in mind that it's a package deal. The Catholic Church is (rightly in my view) pro-life on both abortion and execution.