I’m not a member of this movement, but I am a member of others, and would like to make this comment:
Most groups which are vibrant will attract strong criticism and condemnation from arch conservatives who don’t like or understand what that group is about.
Many groups led by lay people will at times, from sincere mistake, bend or step beyond the boundaries of what other people in the church consider to be “normal” or “orthodox”. Tne Neocats have been accused of this. They have been accused of being “Cultish” and of a range of liturgical abuses. so have other many movements focused on the renewal and reform of their members - from the most Charismatic to the most Traditional.
In their defense: They have been given the gift of the Catechism of the Catholic Church, which has been an authoritative text which has helped the Neocats and many other organisations to refine their catechises programs to be better attuned to the teaching of the Church. The NeoCats have done this.
They are an officially recognised Lay Ecclesial Organisation, with full Vatican approval. That’s good enough for me.
His Holiness the Pope, and his predecessor have both been very supportive of this movement.
Except where a local bishop has decreed otherwise this group and others like it should be treated with the respect they deserve due to their recognised status.
God Bless the Neocats. God Bless their mission. and god bless you members who will stand up and be apologists for them.