1) First, let's start for the title:
THE SALVATION OF THOSE OUTSIDE THE CATHOLIC CHURCH
Given that the rest of the article explains how there is no salvation outside the Church, I think the title can be excused. The title doesn't actually say that there is salvation outside the Church. In fact, here is a thought experiment:
Title: THE SALVATION OF THOSE OUTSIDE THE CATHOLIC CHURCH
Article: Dedicated to the memory of Fr. Leonard Feeney
Extra Ecclesiam Nulla Salus -- Outside the Catholic Church there is no salvation. QED.
Right away I see that you fail to acknowledge that Fr. Barbara is making a distinction between inside/outside and membership/non-membership. The article explains that membership involves receiving baptism of water and professing the Catholic Faith whereas being inside the Church involves "all those in whom the Holy Spirit dwells. These are those who have theological faith, possess the divine life and are in a state of grace." Not all members of the Church are saved but all those who are inside the Church are certainly saved. So Fr. Barbara is not claiming that anyone outside the Church is saved. Personally, I think I would have chosen a better title but it is what it is. It certainly is not heretical if understood correctly in the context of the entire article.
2) In the face of this, must one believe that everyone,
without exception, who does not OFFICIALLY belong to the Church
by means of the reception of Baptism and the public profession
of the Catholic faith, is damned? Not at all.
Council of Trent, Canons of Baptism (Canon 2)
If anyone says that true and natural water is not necessary for baptism and thus twists into some metaphor the words of our Lord Jesus Christ" Unless a man be born again of water and the Holy Spirit" (Jn 3:5) let him be anathema.
In
Fundamentals of Catholic Dogma by Dr. Ludwig Ott, Part 2, Chapter 5, Sec 20, The Necessity for Membership of the Church, is written:
Membership of the Church is necessary for all men for salvation. (De fide.) ... The necessity for belonging to the Church is not merely a necessity of precept (necessitas praecepti), but also a necessity of means (nec. medii), as the comparison with the Ark, the means of salvation from the biblical flood, plainly shows. The necessity of means is, however, not an absolute necessity, but a hypothetical one. In special circuмstances, namely, in the case of invincible ignorance or of incapability, actual membership of the Church can be replaced by the desire (votum) for the same.
The book has an nihil obstat and imprimatur dated 1954.
Likewise, Monsignor G. Van Noort gives a similar although much more detailed treatment. On p. 262 of
Dogmatic Theology Vol. 2 - Christ's Church he writes, "[A]ll the fathers vehemently teach that the Church alone leads to salvation; nonetheless they admit that not all those who are actually outside the Church's membership are necessarily damned." This book has a nihil obstat and imprimatur dated 1956.
So Fr. Barbara's treatment is in line with approved theology manuals. Therefore it is not heretical.
3)
THE EXTRAORDINARY MANNER ...for salvation
If the Church teaches that the sacraments instituted by
the Son of God made man oblige the Father to give His graces to
whomsoever validly receives them, she has never taught that His
generosity is restricted to this methodology.
Council of Trent, Canons of Baptism, Canon 5:
If anyone says that Baptism of optional, that is not necessary for salvation, let it be anathema.
You must have missed where Fr. Barbara wrote this: "Now, among the things that are pleasing to God must be included the necessary obligation of receiving the Baptism of water." So in fact, Fr. Barbara is not guilty of saying that Baptism is optional. Rather, he understands the distinction between an absolute necessity of means and a hypothetical necessity of means.
4) It is then clear that God, who has promised to give His graces through these ordinary means of the sacraments, can also give them in an extraordinary manner. Holy Scripture provides us with numerous examples of this. Thus, Saint Dismas, the good thief, received the grace of regeneration without any sacrament, and this with such efficacy that Our Lord said to him, "This very day you will be with me in Paradise" (Luke XXIII:43).
The Good Thief died before the foundation of the Catholic Church at Pentecost,
Fine. But you have to admit that there is no error in what Fr. Barbara has written. Saint Dismas was saved without any sacrament. No error there. It might not be the most relevant example but it is not an error.
5)
These examples show with a certitude which cannot be
denied that it is possible to belong to the Soul of the Church
without belonging to her Body, and that God can bestow His
graces in an extraordinary manner which is independent of the
sacraments.
Again,
Session 7, Canon 4 of the Sacraments in General from the Decree Concerning the Sacraments:
If anyone says that the sacraments of the New Law are not necessary for salvation but are superfluous, and that without them or without the desire of them men obtain from God through faith alone the grace of justification, though all are not necessary for each one, let him be anathema.
Answered above.
6)
With regard to these latter and all those who deny the
mysteries of God, it is necessary to make the following point.
If it is possible that non-Catholics can belong to the Soul of
the Church while in good faith knowing nothing of the divine
Mysteries, this is absolutely impossible for those who
blaspheme against them.
Pope Eugene IV, Council of Florence, Sess. 8, Nov. 22, 1439, ex cathedra said:
“Whoever wishes to be saved, needs above all to hold the Catholic faith; unless each one preserves this whole and inviolate, he will without a doubt perish in eternity.”
Pius XI said:
For since the mystical body of Christ, in the same manner as His physical body, is one, compacted and fitly joined together, it were foolish and out of place to say that the mystical body is made up of members which are disunited and scattered abroad:whosoever therefore is not united with the body is no member of it, neither is he in communion with Christ its head.
On this one, you might have a point but I would not go so far as to accuse Fr. Barbara of heresy. It is obvious that he is attempting to explain the teaching according to approved sources. If there is a little imprecision, it doesn't imply that he is denying the teaching of the Church. And I assure you that the CMRI doesn't intend to imply that one can be saved without supernatural faith. In fact, Fr. Barbara writes elsewhere in the article, "It is requisite that the intention by which one is ordered to the Church should be informed by perfect charity; and no explicit intention can produce its effect unless the man have supernatural faith."
7)
INVINCIBLE IGNORANCE
This is the error in which those who without any fault on
their part find themselves. It presumes good faith. It can be
met with among those to whom the true religion has never been
presented, and among those to whom it has been presented and to
whom, despite this, it does not appear to be the truth. Such
is to be found in parts of the world which are completely
adherent to the schismatic churches or some other cult, such as
Islam, Judaism, Protestantism, etc. This ignorance excuses
those involved of all culpability.
The Invincibly Ignorant is damned at least for the guilt of Original Sin. They are justly deprived of the only means of salvation, which is membership in the Holy Catholic Church (visibly, explicitly,....). They have neither innocence nor excuse in this matter. Their ignorance of the Divine Faith is a punishment for the original sin. It is the will of God, and it suffices for damnation.
The Roman Catholic Church infallibly defined at the ecuмenical councils of Lyons and Florence, that the guilt of original sin suffices for damnation in hell.
The term invincible ignorance can be found in Ott, Van Noort, Pius IX and Pius XI among other Church approved sources. I believe Fr. Barbara is again in line with the Church's teaching. Nowhere does he deny that those who die with the stain of original sin are damned.
8.
I'm skipping this one because I don't see where you have pointed out any error on Fr. Barbara's part. It looks to me like you are just trying to justify the Feeneyite position by saying that God will make sure that everyone whom he desires to be saved will receive Baptism of Water.
9.
It is also to HIS Church that Jesus confided the seven
sacraments; non-Catholics are deprived of this, and this
deprivation can only make their perseverance in the path of
salvation more precarious.
Makes salvation impossible, given that no one can enter Heaven with Original Sin which is remitted only though the Sacrament of Baptism.
You are dissenting from the Ordinary Universal Magisterium of the Church on this point. As I have already pointed out above, there are many Church-approved sources which point out that Original Sin can be remitted without Baptism of Water in some extraordinary circuмstances. Fr. Barbara is simply following Church-approved sources. It is you who are dissenting against Church-approved sources.