Bishop Williamson is an SSPX bishop who had been excommunicated for allowing himself to be ordained by Archbishop Lefebvre. He is also so badly informed about historical events that he claims the Holocaust did not happen.
Being ordained without papal permission is automatic excommunication.
Denying the Holocaust, on the other hand, is merely gross stupidity.
Being stupid is not a sin.
In order to assist with the regularization of the status of the SSPX, his excommunication was lifted by Pope Benedict XVI. Since stupidity is not a sin, his denial of the Holocaust is not really relevant to whether or not he is excommunicate.
Given the lifting of the excommunication, Bishop Williamson is a valid Catholic bishop who is suspended - he has no one under his authority.
Cardinal Mahoney has decided to bar Bishop Williamson from speaking anywhere in the Los Angeles Diocese. That is his right. No one can have a quarrel with that decision.
But in his decree barring Bishop Williamson, Cardinal Mahoney also took the trouble to state, "Holocaust deniers like Williamson will find no sympathetic ear or place of refuge in the Catholic Church, of which he is not — and may never become — a member."
That is OUTRAGEOUS.
Cardinal Mahoney is directly contradicting a papal directive. By his statement, Mahoney effectively denies that Williamson's excommunication has been lifted. He refuses to recognize Williamson's valid episcopal orders, when Williamson's reception of that sacrament is just as valid as Mahoney's own.
Bishop Williamson denied the reality of the Holocaust.
Through his decision to be ordained bishop, Bishop Williamson denied the authority of Rome.
Cardinal Mahoney's bombast essentially denies Rome's authority and verges on denying the reality of the sacrament Bishop Williamson received.
Exactly how is Cardinal Mahoney different than Bishop Williamson?