Not really. The Mozarabic Rite is a liturgical family permitted in (parts of?) Spain. It may be used by Spanish Latin Rite Catholics who are part of the ordinary hierarchy of the Church. The Mozarabic Rite is a little more analogous to the Anglican Use parishes, which are under the direct jurisdiction of the ordinary of the local territorial diocese.
Anglican Use parishes are just regular Latin Rite parishes that have permission to use an Anglicanized Catholic liturgy, and the priests are former priests of the Anglican Communion, but now priests incardinated in the local territorial diocese who answer to the ordinary of the local territorial diocese.
What the Apostolic Constitution offers is a separate hierarchy apart from, but within the Latin Church. The personal ordinariates will permit the erection of Roman Catholic parishes that are not under the immediate jurisdiction of the ordinary of the local territorial diocese. Rather, these parishes will be under the immediate jurisdiction of the ordinary (can be either a priest or a bishop) of the personal ordinariate. The priests will be incardinated in the personal ordinariate, and will be subject to the ordinary of the ordinariate, not to the bishop of the local territorial diocese.
They will have their own Anglican Catholic liturgy, of course, and will likely more heavily depend on Anglican music.
These ordinariates will also be able establish their own seminaries. They will be able to develop a Catholic theology and formation that incorporate uniquely Anglican attributes (Don't ask me what those might be - I'm told that they exist, but I just don't know enough to tell you what they are.).
Thus, there will be a separate hierarchical structure.
Nonetheless, it will be wholly within the Latin Church.
These structures have been compared to military ordinariates, which function in many ways as non-geographical dioceses.
They are a good distance from the Pastoral Provision that provided for the establishment of Anglican Use parishes within Roman Catholic territorial dioceses, but they aren't quite as far as the sui juris Churches.
I hope that made it a little clearer, and not muddier.
sitetest
What are ordinariates and what is an ordinary? And how can anything be entrusted to a priest without it being entrusted to a bishop under whom a priest operates? Do Catholic priests work independent of bishops? In Eastern Churches, a priest without a bishop has no authority. Pleas clarify.
But, overall, from what you are saying it seems like the Anglican Rite will be a separate body under special provisions that are neither here nor there with respect to anything else in the Latin Church. Is that close?