As you know very well, Venerable Brethren, from the beginning of Our Pontificate, We have entrusted even those who do not belong to the visible structure (compagem) of the Catholic Church to the heavenly protection and direction, solemnly asserting that, following the example of the Good Shepherd, We wanted nothing more than that they should have life and have it more abundantly. Begging the prayers of the entire Church, We wish to repeat Our solemn declaration in this encyclical letter in which We have praised the great and glorious Body of Christ, most affectionately inviting each and every one of them [those who are not members of the Church] to co-operate generously and willingly with the inward impulses of divine grace and to take care to extricate themselves from that condition in which they cannot be secure about their own eternal salvation. For even though they may be directed towards the Redeemer's Mystical Body by a sort of unconscious desire and intention (etiamsi inscio quodam desiderio ac voto ad mysticuм Redemptoris Corpus ordinentur), they still lack so many and such great heavenly helps and aids that can be enjoyed only in the Catholic Church.
He says that such people "
may be directed towards the Redeemer's Mystical Body", not that they are within the Redeemer's Mytical Body. Pope Pius XII thus clearly teaches that these people who do not belong to the visible structure of the Catholic Church are
still outside the Church, but can be directed to her by their unconscius desire. Pope Pius XII does not teach that they can be saved in their current state, he says they still need to be directed to the Redeemer's Mystical Body, that is to convert to the Catholic faith.
The mention of the necessity of believing in the Incarnation and Holy Trinity is not mentioned here. Nor is it mentioned either way whether those in non-Christian sects can even theoretically be saved within the Church or not. However his use of the term “those” does not seem to be exclusive.
Right, so you make Pius XII contradictory to Cantate Domino and Athanasian Creed, since both teach that non-Catholic cannot be saved and that holding the Catholic faith is absolutely necessary for salvation by necessity of means. Pope Pius XII statements must be read in light of the dogmatic teaching of the Church, you read them againt dogmatic teaching of the Church, and misrepresent Pius XII in the process - nowhere does he teach that people without faith in Christ can be saved, he says that they might be directed by God to the Church (thus in their current state their remain outside the Church).
The Athanasian Creed will always condemn your heresies:
"Whosoever will be saved, before all things it is necessary that he hold the Catholic Faith.
Which Faith except everyone do keep whole and undefiled, without doubt he shall perish everlastingly."
Anyone who dies and does not hold the Catholic faith will without a doubt perish everlastingly, which part of this do you not understand?