If Burke professes that Vatican II is the constant teaching of the Catholic Church (which he does), then he does not speak the Truth. He just speaks more truth than Bergoglio.
Vatican II Council was an a legally held ecumenical council whose decrees were approved by the Pope. That has to be the starting point for its interpretation. One cannot simply dismiss it out of hand. Popes St. JPII and Benedict XVI worked to instill a healing hermeneutic of continuity, and so interpreted there is no doctrinal problem with the counsel. Cardinal Burke is in that tradition and does not deserve your unjust scorn. Sadly, Pope Francis is trying to tear down the work of the previous two Popes and turn back the clock to the 1970s, and if he succeeds in the long term (i.e., if his heretical innovations to the moral teaching of the Church outlast his pontificate), one will have to reassess whether the promises made by Our Lord to St. Peter about the Gates of Hell are true.