Holy places

"It is true that God is everywhere, that He is not confined or bounded by any place, because He made everything; and it is fitting for Him to be adored by the true adorers in spirit and truth, that, hearing them in secret, He may likewise justify and reward them in secret.  But, as far as things visibly known to men are concerned, who can search into His purpose, or the reason why these miracles occur in some places but do not occur in others?"

     St. Augustine, Letter 78 (AD 404), as trans. Parsons, FC 12, Saint Augustine:  Letters, volume 1 (1-82) (1951), 377-378.  Latin:  CSEL 34.2, 335.  The resort here was to "the place where the body of the blessed Felix of Nola is buried".  He continues:  "We also know that at Milan, at the shrine of the saints, where the devils make wonderful and terrible confession, a certain thief, who had gone there to strengthen a false oath, was forced to confess his theft, and to restore what he had stolen.  But, how about Africa:  is it not full of the bodies of holy martyrs?  Yet we do not hear of such things happening anywhere.  It is that, as the Apostle says, just as all saints do not have the gift of healing, nor do all have the discernment of spirits, so, not in all shrines of the saints does He will that these things happen, and He ‘divides to everyone his own according as [H]e will.'"  So the resort was to a specific place where both parties might be forced to confess any sin committed with respect to the other.
     What bishop would have the faith to submit a question of the truth of the matter (in a case of, say, sexual (im)propriety) to the divine tribunal in this way today?  What people would be properly theistic (rather than atheistic) enough to credit such a procedure cum verdict?