The Catholic Cathechism states that every activity, movement within the Catholic Church has to be done for the Catholic Church to become the "Sacrament of the Unity of the Holy Trinity and of mankind". (CCC 747). On the other hand, the Episcopate of Umbria has made it clear that the Neocatechumenal Way is a very Parallel Way to the parish community, and the two will never meet. So the final purpose of the Neocatechumenal Way is not the above stated purpose. It is clear, as exposed by Fr Zoffoli in his book, that the Neocatechumenal Way is a parallel church.
Some references to Kiko's catechism which support this comparison: Christianity for Kiko is "disgusting" (Catechism of Kiko, p 283). He says that common people (NOT the Neocatechumenals) "believe that we are all sons of God... (but) ...Thanks God that today things are changing: there are Marxist people who do not call themselves Christians because with this Christianity nothing good has been obtained... We were not Christians, we knew nothing of Christianity, we are prechristians..." To Kiko only some who complete the Neocatechumenal steps are Christians and sons of God. On the other hand a Catholic (according to the CCC) should believe that we are all sons of God.
A Neocatechumenal catechist in Calabria once said: "We are the true Church, in opposition or in diversification of the hierarchical Church...". Another catechist in Malta once said: "We agree with Luther concerning the Eucharist being just a sign and bread."
Comments in the guestbook indicate, that to at least some neocatechumenals, Kiko is revered much more than a Pope.
What Our Lady said in a locution to Fr Gobbi, about those who like
the Neocatechumenal founders Kiko and Carmen, spread heresy:
Quoting Kiko in his catechism again: p. 167 "Because
the Church is not a juridical or hierarchical thing, but a sacramental one.".