The Vatican must teach by example.  Nothing is more fundamentalist than canon 1024 and catechism 1577, which perpetuate the male-only priesthood of the Old Law.  Nothing is less integralist than excluding women from a sacrament of the New Law.  Everything is connected.  For social/ecological justice, and for the evangelizing mission of the Church, nothing is more urgent than letting go of religious patriarchy.  

This is a chronology of how the Vatican is resisting the signs of the times:

Religious Patriarchy ~ Annotated Chronology of Key Events
http://pelicanweb.org/CCC.TOB.html#CHRONOLOGY

As long as the Vatican remains attached to the patriarchal mindset of the Old Law, including the patriarchal priesthood, how can we expect people to embrace the new creation under the New Law?  If people see fundamentalism around the altar every Sunday, how can we expect people to understand integralism when it comes to understanding biblical revelation and building the body of Christ?