They did that with Clarence Thomas. "He was educated by nuns, so he's anti-abortion and religious nutjob," was the implied attack.
and they were right.
I don't see the problem here, she opposes stem cell research, keep her out.
I also don't see how anti-Catholic bigotry can exist, I think it's natural to have a very low opinion of a church that considers me and all other Protestants to be heretics.
Non - Catholics are recognized by the church as true christians. They have been since the Second Vatican Council.