One cannot persist in claiming Baptism of Desire applies to the pagan, the Jєω, the Moslem, the heretic, the schismatic.

Ok, thanks for your reply.  You don't have any authoritative references for your speculation.  You imagine in your own mind a contradiction and then expect others to adopt your views.  You offer nothing compelling other than your own view in contrast to well established Church teaching.  So, for myself, and I would hope others, the safer course would be to remain aligned with the long-standing Church teaching on the topic.  Thank you for the exercise.  Enjoy your time remaining.

I can't imagine who would.  Has this been said by the new church?  The 99% statistic is surely fictitious.  Near every reference I've seen to Baptism of Desire notes how extraordinary it would be.

The attitude of the Catholic Church towards pagans, Mohammedans and Jєωs has always been clear — there is no salvation outside the Catholic Church. Even supposing a person were invincibly ignorant of the true Church, he must still follow the natural law to be saved (implicit baptism of desire).

Baptism of desire, in other words, is equated with perfect charity or perfect contrition.

Q: What happened to the concept that we must go out and convert protestants, Jєωs, etc. to the Catholic Church, outside of which there is no salvation. In my early years, God sent me to many souls to “preach” to to lead them to the Cathoic Church.

R: Obviously, we’re still obliged to do this.

After all, how many Catholics, still less non-Catholics, have perfect contrition?

So, the missionary apostolate of preaching and converting souls to the one, true faith must ever continue.

Baptism of desire

Does that mean that no Protestant, no Muslim, no Buddhist or animist will be saved? No, it would be a second error to think that. Those who cry for intolerance in interpreting St. Cyprian's formula, “Outside the Church there is no salvation,” also reject the Creed, “I confess one baptism for the remission of sins,” and are insufficiently instructed as to what baptism is. There are three ways of receiving it: the baptism of water; the baptism of blood (that of the martyrs who confessed the faith while still catechumens) and baptism of desire.
Baptism of desire can be explicit. Many times in Africa I heard one of our catechumens say to me, “Father, baptize me straightaway because if I die before you come again, I shall go to hell.” I told him “No, if you have no mortal sin on your conscience and if you desire baptism, then you already have the grace in you.”

The doctrine of the Church also recognizes implicit baptism of desire. This consists in doing the will of God. God knows all men and He knows that amongst Protestants, Muslims, Buddhists and in the whole of humanity there are men of good will. They receive the grace of baptism without knowing it, but in an effective way. In this way they become part of the Church.

The error consists in thinking that they are saved by their religion. They are saved in their religion but not by it. There is no Buddhist church in heaven, no Protestant church. This is perhaps hard to accept, but it is the truth. I did not found the Church, but rather Our Lord the Son of God. As priests we must state the truth.

We know that there are two other baptisms, that of desire and that of blood. These produce an invisible but real link with Christ but do not produce all of the effects which are received in the baptism of water. For example, with baptism of blood or desire, you do not receive the character of baptism. You only receive the grace, which means that those who die with these baptisms go to heaven–because they are united with Christ–but they will not have this wonderful and impressive gift which we call the character. It's noteworthy to see that this is the main reason why certain Fathers of the Church, including St. John Chrysostom, teach that the Blessed Virgin was baptized. She did not need baptism because she did not have Original Sin, but in order to receive the other sacraments, it makes sense that she would have received what allows us to receive the other sacraments: the character of baptism. This is not part of a definition about the Blessed Virgin Mary and we are not bound by the Faith to believe this, but we do have Fathers of the Church who went so far as to say that our Lord baptized St. Peter and then the Blessed Virgin Mary, or that St. Peter baptized our Lady and the rest of the Apostles.

At any rate, it may be surprising, but it is important that these things be clear in our mind. Today, we have so many surprising theories around, and so we must hold fast to what the Church has always taught. And the Church has always taught that you have people who will be in heaven, who are in the state of grace, who have been saved without knowing the Catholic Church. We know this. And yet, how is it possible if you cannot be saved outside the Catholic Church? It is absolutely true that they will be saved through the Catholic Church because they will be united to Christ, to the Mystical Body of Christ, which is the Catholic Church. It will, however, remain invisible, because this visible link is impossible for them. Consider a Hindu in Tibet who has no knowledge of the Catholic Church. He lives according to his conscience and to the laws which God has put into his heart. He can be in the state of grace, and if he dies in this state of grace, he will go to heaven.

This a joke?

CMRI
http://www.cmri.org/02-v2_non-christian.shtml

Fr. Cekada
http://www.fathercekada.com/2008/10/29/baptism-of-desire-perfect-charity-or-contrition/

...

I don't have any difficulty with the links and quotes you provided.

The following ideas were specifically condemned...

"III. Indifferentism, Latitudinarianism
   15. Every man is free to embrace and profess that religion which, guided by the light of reason, he shall consider true. -Allocution Maxima quidem, June 9, 1862; Damnatio Multiplices inter, June 10, 1851.
   16. Man may, in the observance of any religion whatever, find the way of eternal salvation, and arrive at eternal salvation. -Encyclical Qui pluribus, Nov. 9, 1846.
   17. Good hope at least is to be entertained of the eternal salvation of all those who are not at all in the true Church of Christ. -Encyclical Quanto conficiamur, Aug. 10, 1863.
   18. Protestantism is nothing more than another form of the same true Christian religion, in which form it is given to please God equally as in the Catholic Church. -Encyclical Noscitis, Dec. 8, 1849."

The doctrine of the Church also recognizes implicit baptism of desire. This consists in doing the will of God.

Archbishop Lefebvre

1. I am the LORD your God:
you shall not have
strange Gods before me.

Those outside the Catholic Church can be saved through invincible ignorance; not because they are following a false religion but in spite of it. Why did Christ come down to earth, endure His Passion and death on the cross and establish His own Church if all religions are vehicles of salvation? A Ford or Chevy can take you across the country but you need to take a rocket to get to the moon. In other matters there is a choice. In charting a flight to heaven, we have to play by God's rules, not our own.