Cardinal Dolan and his allies are believers in Christendom.  They like the symbolism of Catholic participation in these events.  For them, it is a triumph.  They believe in maximizing relgious power rather than simply seeking guarantees of religious freedom.  And that is a shame.  Mores the pity of those who wish to baptize the prosperty gospel.  They have answered the question of whether they worhip God or Mammon.  Trump finds comfort in both for his own soul and his ability manipulate them.