The two tenets of the New Religion = 1. The Glorification of Man and 2. Every religion is as good as the true religion.
In fact, the New Religion will establish the apotheosis of Man. Man will be recognized, finally, as the highest entity in the chain of being (Hegel). They will say that "God" was a mental construct (Feuerbach/Marx), an ideal that small-minded men created because their own insecurities held them back from overcoming themselves (Nietzsche).
Now that humanity realizes that it is possible, using technology, to achieve any and all goals once reserved to the concept of "God" (including immortality), men will have no need for a "God" at all. And all "religions" will be recognized as simply different projections of mankind's ultimate aspirations. Once all religions are rationalized using Occam's Razor, they reduce to one: moralistic-therapeutic-humanism.
The Arians said Jesus was just a man, but retained the transcendent God in their heretical teaching. The New Heresy will agree that Jesus was a man and not a transcendent "God." But not because Jesus was something lower than the transcendent "God." No, Jesus was simply "a god," since all "enlightened" men are actually "gods'" The New Church will worship Jesus and all the other human "bearers of light." In fact, those men alive now who shine "the light" on the darkness of social injustice (Marx) will be contemporary "gods" of the New Pantheon. And first among this new elite will be the humble "Pope Francis."
The groundwork in the NuCatholic Magisterium was laid with
Redemptor Hominis. Bergoglio will simply publicize and implement the remaining elements of the unfinished project started by JPII.
The main problem with the ancient mass is that it pays homage to the transcendent God, the Holy Trinity. The new mass "fixes" this by paying homage to the new gods, us.