The mother of four who is based in Bray, Co Wicklow has had a number of run-ins with the Church in the past.
She demanded that Pope Benedict make an apology to the Irish people for the behaviour of the clergy, and that he take immediate action against those named.
"What I want for Christmas is for every bishop named in the report on the Dublin Diocese as having acted inexcusably, and every bishop who did not report abusers to the gardai, to resign," O'Connor told the Irish Independent.
Disrepute
"These people have taken our Church and brought it into disrepute. Whoever knew and did nothing should stand down."
She claimed that if the bishops involved failed to stand down, Irish Catholics should go over their heads.
"The buck stops with the Pope. It's the Pope who should be firing the lot of them."
O'Connor (43) was ordained a priest in 1999 by Tridentine bishop Michael Cox and called herself Mother Bernadette Mary.
O'Connor said the future of the Church would be in its individual members.
"It's us who will survive," she said. "Not the vampires. They most certainly will perish."
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