Dear NIFH,
Do you know who is the human head of this "sect that presently occupies Rome?"
Is this the case whereby you believe that the head of a non-Catholic sect is at the very same time the head of the One Holy Catholic and Apostolic Bride of Christ?
Do you believe it possible to be both a non-Catholic and a Catholic at the same time?
There are distinctions to be made here. It is possible for a person to be a material heretic and to still be a member of the Mystical Body of Christ. I think it was Tanquerey who said that most Catholics are materially semi-Pelagians, and are quite unaware of it. These people have ideas that contradict Church doctrine, but do not intend to, and would change their ideas as soon as they learned the true doctrine. There are innumerable ways to materially be a non-Catholic, and subjectively definitely still be a Catholic.
The pope is not the head of the Catholic Church. Our Lord Jesus Christ is the Head of the Catholic Church. The pope is the Vicar of Christ on Earth. He holds the highest position of any mere human on Earth, but he is still only the vicar of the Head.
Whether or not our present pope is truly the head of the sect eclipsing the Church, he certainly seems to be at least the visible head. Just as it is possible for a local bishop to be at the same time the president of the local Socialist Club, it is possible for the pope to be at the same time the president of the 'newchurch'. All of his time and effort and dedication seems to be put to the service of his sect, rather than to his far nobler position of Christ's Vicar on Earth. Our poor Holy Father, we must pray for him, and make clear that he will have our fullest support should he accept the grace to turn around.