The article mentioned is:

http://www.ncregister.com/daily-news/cardinal-burke-on-amoris-laetitia-dubia-tremendous-division-warrants-action

Your assertion that a "parallel magisterium has reared its head" has reared its head is unsupported by the interview, the cardinal correctly states that nothing can contradict Tradition (or Scripture) upon which the entire teaching rests, nor has “Neo Lefebvrism” any currency in the discussion as, unlike Marcel Lefebvre, the cardinal has not rejected a teaching of the Church, has not consecrated successors without mandate, nor challenged the authority of the Pope.

The relevant Scripture is Galatians 2:11-21.