There are certain recurrent characteristics we normally see associated with the emergence in history of what come to be called religions.
1) The new religion is nearly always a variant of an older, established religion. The Cult of Equality is clearly a variant of Christianity. It takes the basic Christian sense of ethics - the moral universalist mission - and sheds the superstitions.
2) The new religion is not initially recognised as being a new religion. It is seen as a kind of movement or current within the older, established religion. Only later, sometimes centuries later, is it perceived as being a distinct thing. For example, Christianity and Judaism were originally not separate. People - in some places for centuries - considered themselves to be both Christians and Jews. The break came when the "Christian Jews" decided that Christ's message was for everyone and not just those who were members of the Chosen Race.
What we are now seeing in Europe is the Religion of Equality usurping Christianity, even within the institutional framework of the Christian churches. Many of the Christian priests, perhaps especially in the Church of England, strike me as no longer actually believing in their own religion. If they really believe that through conformity to their doctrines, people can enjoy a state of eternal bliss, and, conversely, that lack of such conformity condemns a person to eternal torment, why have they made no efforts to convert Muslims? Surely any moral person would try to spare others from eternal torment? They seem to regard their church as being little better than a charity or human rights organisation.
But now comes the breaking point. The Equality Cultists within the Church of England want to advance their Equality agenda within the church, pushing rights for gays and women [see here]. The non-Europeans, not afflicted by the Equality Cult and intent on preserving Christianity in its traditional form, are fighting back. This may lead to the break-up of the Church of England, just as Christianity and Judaism once broke up when the new religion and the old proved irreconcilable.