There are many problelms that I see with what the OP reported. First of all, the Holy Sacrifice of the Mass does not belong to anyone partcular person or ecclesial movement so that they could treat it as they please. Even the Exposition of the Blessed Sacrament, with Benediction, is a liturgy of the Church with its own particular norms and rubrics.
The account of the Consecration is most disheartening. The celebrant does not have the right to interrupt the Holy Sacrifice of the Mass and encourage this kind of activity. According to Redemptionis Sacramentum:
[53.] While the Priest proclaims the Eucharistic Prayer “there should be no other prayers or singing, and the organ or other musical instruments should be silent”,132 except for the people’s acclamations that have been duly approved, as described below.
“No” means no. This means no verbal praying of any sort should be happening. The only one who should be audible, at least in the Ordinary Form, is the celebrant (and concelebrants). No one else should be speaking.
The issue of dancing is also a major issue. There is no tradition in the West for this sort of activity. Now, if the movement was tied in with an indigenous group such as Native Americans, Aztecs, Aborigines, African tribal nations and those who live in missionary territories, then, that is an entirely different matter because of inculturation. It is interesting that proponents of this kind of innovation will invoke King David. King David’s dance was not part of the cultic worship of Ancient Israel. In fact, God spent no little time on the details regarding how, when, where and in what manner He was to be worshipped. Nowhere in the texts of Deuteronomy, Leviticus and Numbers is dancing mentioned as a form of cultic, sacrificial worship. The Church, as the New Israel, appropriated many forms of Ancient Israel’s cultic, sacrificial worship, including the use of gold vessels and other items. Dancing is not one of them.
Furthermore, while people are certainly free to pray in whatever form they choose outside of the confines of the liturgy, the ecclesial movements who are sanctioned by the Church
need to respect and abide by the liturgical norms established by the Holy See. The liturgy is not just about the Holy Sacrifice of the Mass; it also includes the Liturgy of the Hours and Exposition and Benediction of the Blessed Sacrament. There are norms that must be followed. No movement, no person, not even the priest, has the right to amend what the Church has established. Several movements have already gotten in trouble for their abuses, including the Neocatechumenal Way and LifeTeen. While the Charismatic Movement is sanctioned by the Church (and no one should question that), they are not exempt from following the norms of the Liturgy, no matter what form it takes (the Mass, LOTH, and Exposition/Benediction).