Since this question has gone unanswered for some time, I will take a stab at it.
Levels of Magisterial Teaching is not the same thing as a hierarchy of truths.
Levels of Magisterial Teaching refers to the level of authority of the person or group giving the teaching and the circumstances under which it is given. So, for instance, the pope issuing a solemn ex cathedra document is accorded an infallible level of Magisterial Teaching. From elsewhere on the web:
The three levels of teaching are:
1) Dogma – infallible (Canon #750.1) to be believed with the assent of divine
and Catholic faith.
2) Doctrine – infallible (Canon #750.2) requires the assent of ecclesial
faith, to be "firmly embraced and held".
3) Doctrine – non-definitive (non-infallible) and requires intellectual
assent ("loyal submission of the will and intellect", Vatican II, (Lumen
Gentium 25), not an assent of faith.
The phrase a "hierarchy" of truths (quotes in the original) occurs in the second chapter of the document UNITATIS REDINTEGRATIO, otherwise known as the DECREE ON ECUMENISM, a Vatican II document, in the following paragraph:
Moreover, in ecumenical dialogue, Catholic theologians standing fast
by the teaching of the Church and investigating the divine mysteries
with the separated brethren must proceed with love for the truth, with
charity, and with humility. When comparing doctrines with one another,
they should remember that in Catholic doctrine there exists a
"hierarchy" of truths, since they vary in their relation to the
fundamental Christian faith. Thus the way will be opened by which
through fraternal rivalry all will be stirred to a deeper
understanding and a clearer presentation of the unfathomable riches of
It's clear from the context that a "hierarchy" of truths is referring to the centrality of the content of a teaching to the Catholic faith. Doctrines related to the person of Jesus Christ are more central to the faith than doctrines related to church discipline, for example.
The Catechism of the Catholic Church starting at paragraph 80 makes clear that there is only one source of divine revelation, and we are obliged to adhere to everything that comes to us from the apostles without any order of importance or consideration of authority:
II. THE RELATIONSHIP BETWEEN TRADITION AND SACRED SCRIPTURE
One common source. . .
80 "Sacred Tradition and Sacred Scripture, then, are bound closely
together, and communicate one with the other. For both of them,
flowing out from the same divine well-spring, come together in some
fashion to form one thing, and move towards the same goal."40 Each of
them makes present and fruitful in the Church the mystery of Christ,
who promised to remain with his own "always, to the close of the
. . . two distinct modes of transmission
81 "Sacred Scripture is the speech of God as it is put down in writing
under the breath of the Holy Spirit."42
"And [Holy] Tradition transmits in its entirety the Word of God which
has been entrusted to the apostles by Christ the Lord and the Holy
Spirit. It transmits it to the successors of the apostles so that,
enlightened by the Spirit of truth, they may faithfully preserve,
expound and spread it abroad by their preaching."43
82 As a result the Church, to whom the transmission and interpretation
of Revelation is entrusted, "does not derive her certainty about all
revealed truths from the holy Scriptures alone. Both Scripture and
Tradition must be accepted and honored with equal sentiments of
devotion and reverence."44
Apostolic Tradition and ecclesial traditions
83 The Tradition here in question comes from the apostles and hands on
what they received from Jesus' teaching and example and what they
learned from the Holy Spirit. The first generation of Christians did
not yet have a written New Testament, and the New Testament itself
demonstrates the process of living Tradition.
Tradition is to be distinguished from the various theological,
disciplinary, liturgical or devotional traditions, born in the local
churches over time. These are the particular forms, adapted to
different places and times, in which the great Tradition is expressed.
In the light of Tradition, these traditions can be retained, modified
or even abandoned under the guidance of the Church's Magisterium.