How can that be my interpretation?
See, it is very simple:
by inserting that very correct description of a proper Christian altar in the sentence of Mr. Argüello, you implied that that is what he is talking about. On the other hand, Mr. Argüello was talking about the difference between natural religiosity and Christian faith. He began with explaining the phenomenon of primitive religions appearing simultaneously with the appearance of homo sapiens on earth. Then he goes on to say that those primitive religions often began to use temples and altars. Then he says that those temples and altars do not exist in Christianity, because we don’t offer sacrifices to placate God, so that he will give us what we want, but it is Chirst who offers the true sacrifice, and true worship is to do his will, not ours (see Jn 4). So in this sense (in the sense of the natural religiosity and not, as you stated, in the sense of a dedicated altar with a blessed altar stone and saints’ relics) there is no altar, temple, priests in Christianity.
Simple as that, what you wrote is correct about the altar, but you apparently misunderstood what Mr. Argüello was talking about.
Also, FYI, dedicated altar does not necessarily mean that it is made of stone and has relics. That would be the consecrated altar. As it appears, in our day the majority of the world’s Holy Masses are celebrated on altars which were not consecrated. Before Vatican II, a lot of the world’s altars were made of wood with a piece of marble with the relics. Since Vatican II the little marble plate is no longer mandatory. I (and I presume most Catholics, neocatechumens or not) would prefer to celebrate Mass with a beautiful consecrated stone altar with martyrs’ relics, but it takes time and effort to build proper churches, chapels and oratories with worthy materials. In the meantime, what is more important is the salvation of souls and that people receive the sacraments after they have been prepared well.
I, and so many others, were brought to the sacraments and to love Holy Mother Church and obey her teachings by the NCW. I have listened to plenty of preaching/catechesis for the past 23 years and I disagree with you when you say that the formation of the NCW differs from the Catechism and the teaching of the Church.
I know that the NCW has a “style” which some people don’t like. Songs, art, even a certain jargon that sticks on people when they spend enough time in a community sometimes bother me also, especially if I suspect that there is no “content” behind the jargon. But I can’t deny the benefits of this Christian adult formation in my and many other people’s lives. Beside agreeing with it, I also trust the decisions of the Holy See, because Christ has promised that the Holy Spirit with guide the Church to all truth.
So, if the Holy See, or even my local ordinary would disband the neocatechumenal communities tomorrow (even though, up till now we have received full support from the hierarchy), I would have a hard time understanding it, but I would obey whatever they legitimately order me to do or not to do.
However, when you, dear Christine, write posts which, in my opinion, are mistaken and misleading, I try to counter them, with what I believe is true and good.
To conclude, here is a link to the decree of the Pontifical Council for the Laity who (after consulting with the Congregation for the Doctrine of the Faith) approved the texts that you quoted from as valid and binding support for the catechesis of the NCW:
camminoneocatecumenale.it/public/file/DecretoDirettorio.PDF
Thanks for your attention.