One fact that is not a matter of dispute in the current argument is that the Roman Rite and the New Mass are two different rites. Everyone in the Ecclessia Dei commission agree on that point.
At the Novus Ordo Mass, is the bread and wine transubstantiated into the Body and Blood of Jesus Christ?
If the answer to those two questions is yes, what is the problem? Pope St. Pius V (Quo Primum) had no power to bind his successors on matters of prudential judgment arising in their future times. Doctrine is one thing but the exact rubrics used at Mass fall into the category of prudential judgment. If you think there are doctrinal problems with the Novus Ordo you are wrong.
You may well argue that the NO is a low rent set of rubrics and that the Tridentine is a far superior cultural experience. I would agree on both counts. As a Catholic, you cannot very well refuse to satisfy your Mass obligations unless you have your preferred rubrics.