Some things just have to be endlessly repeated over and over, clearly. Patriocentricity is father-worship, with an emphasis on individual family units being subservient to unrestrained false “patriarchs” who themselves have no higher authority to be subject to (not even other father-leaders).
Unfortunately, patriocentricity is what a lot of conservatives think of as patriarchy. It is worst in abusive fundamentalist Christian subcultures like Quiverfull or the now-former Vision Forum and Gothard/ATI subcultures, but it certainly appears over and over among other kinds of conservative or traditionalist Christians.
One reason these subcultures are relatively small is because there is no coherent authority or hierarchy. At best they are cults of personality, which cannot be lasting sources of invested authority. At worst it’s a bunch of isolated families being ill used by a man who answers to no-one and does as he pleases, which was not really the case in any historical patriarchy, not even the pagan ones where a patriarch had life or death authority over his familias/clan.
Patriarchy means men have responsibilities and have to answer to other people outside their immediate family. They also, in addition, have headship in their own individual households, but it doesn’t supersede their hierarchical status within their local community. I find it quite telling that a lot of self-proclaimed patriarchs on and off the internet fight the hardest against actual patriarchy being implemented. An unfortunate and recent example is Doug Philips of Vision Forum. He failed to accede to the authority or intervention of his (supposed) co-elders, which again is rebellion and not patriarchy. More prosaic examples are the guys who can never attend a church because the leadership just isn’t Godly enough for them and “pastor” their families at home.
For the purposes of those interested in Western traditions and restoring them to the extent possible given time and technology, polygamy is practical patriocentricity rather than patriarchy. So anyone supporting or encouraging polygamy is not advocating a pro-Christian patriarchy or pro-Western patriarchy position. Patriocentric systems work against patriarchy, and polygamy tends to degenerate into patriocentricity fairly readily. While not a common conservative theme, there are nevertheless a noticeable minority who promote polygamy either implicitly or explicitly and this promotion should be discouraged among those who are pro-Christian patriarchy.
H/T to Hester at Scarlet Letters, who is slogging through old Vision Forum stuff and brought the term patriocentricity into play. It’s a very useful term.
ETA: From the comments, it appears the term was coined several years ago by Karen Campbell over at the blog That Mom.