The link to an article on refusing sacraments is a lengthy interpretation of Canon 915 which says:
Can. 915 Those who have been excommunicated or interdicted after the imposition or declaration of the penalty and others obstinately persevering in manifest grave sin are not to be admitted to holy communion.
I don’t know anything about the author or the organization, but it seems to claim support of Francis Cardinal George and Archbishop Burke. The author, who is surely more versed in Canon Law than I, makes out a good case for denying the sacraments to some, but doesn’t sufficiently address three points, in my opinion.
First, he says that the Canon does not say who should make the deterimination that someone is “obstinately persevering in manifest grave sin” but then goes on to say that it is obviously the duty of the Minister of the Holy Communion, whether Ordinary or Extraordinary. I think it is a large leap from 915 to allowing lay people to deny the Eucharist, especially in light of Canon 912.
Which leads to my second point. The article makes no attempt to take the command of Canon 912 into account. 912 says:
Can. 912 Any baptized person not prohibited by law can and must be admitted to holy communion.
912 says that any person not prohibited by law MUST be admitted to holy communion. This is inconsistent with the author’s viewpoint that “canonical discipline permits the administering of the Sacrament of Holy Communion only to those who are properly disposed externally, and forbids it to those who are not so disposed, prescinding from the question of their internal disposition, which cannot be known with certainty.” 912 does not only permit administering the Sacrament, it commands it. And it does not seem to turn on external disposition, but on whether the person has been prohibited by Canon Law.
Which leads to my third point. The author is adament in asserting that the internal disposition does not matter when deciding that a person is persevering in grave sin because it cannot be observed and would make 915 a nullity. First, the difficult in making such a discernment does not relieve the obligation to administer under 912. But there is a solution, as the article itself points out:
Regarding those who obstinately persist in manifest grave sin, it is necessary to know that indeed the person does obstinately persist, that is, that his pastor has informed him about the grave and public sinfulness of what he is doing and has cautioned him about not approaching to receive Holy Communion.
This would seem to preclude an Extraordinary from making this determination on his own, and also give the pastor the opportunity to make a reasoned judgment on the internal disposition of the person.
So although I think the article makes a good case that pastors are sometimes required to deny the Eucharist to the obsinately sinful, it does not support blanket denials of sacraments to groups, or denials to individuals based on their public persona without further inquiry. It also does not, in my opininion, make a credible argument for Ministers making snap judments of a person’s worthiness when he approaches.