As far as I can tell the main difference between a patriarch and a misogynist, is that with a patriarch the women haven't successfully rebelled yet.
Patriarchy is a system wherein women are not predominant.
Misogyny is a system wherein women are subject to mistreatment.
Note that I am not advocating either system, and am an ardent feminist.
Misogyny isn't a system and patriarchies don't persist for long without misogyny, for fairly obvious reasons.
I don't believe that is accurate. There are plenty of patriarchal societies where women have high status and are not subject to mistreatment or violence, but no political or economic control.