That's a very rudimentary anarchistic concept but power is so inherent to human relationships that anyone would either quickly abandon it or find themselves very frustrated.
If you are interested in a short and easy to read article that goes through the whole idea of "no powerful people", look up Freeman's Tyranny of Structurelessness. A classic text particularly among anarchists.
that's not true. many governments around the world are substantially controlled by people who are members of conservative religions. and lots of conservative religious organizations are well integrated into their relevant governments. to the point of theocracies, which don't tend towards being extremely progressive.
If you hear about a place that the Catholic Church is controlling party of the government, you don't think "Oh I bet it's some wild Liberation Theology situation where the women are free and there are land reforms to redistribute the land equally". You know it'll be some regressive, repressive backwards ass shit show.
Where? Where has a "vaccine passport" even been implemented?