Misogyny can be part of patriarchy and can be fun at times, but it's not essential if you want to support patriarchy.
Patriarchy is the natural order of relationship between men and women, supporting it is supporting women. Being pro-patriarchy is being pro-women in the most basic way. What could be more natural and loving than supporting a man leads - woman obeys dynamic?
Wanting your woman to stay at home looking after the house and children is not misogyny
Wanting the head of the house to lead and make the decisions for his family is not misgyny
Obeying his orders because you know he has his family's best interests at heart and trust him, is not misogyny
Giving a woman discipline to help keep her focused and punishing her when she does wrong is keeping the family stable and is not misogyny
Expecting your woman to listen to your guidance and follow your instructions for the optimal running of your home is not misogyny
A woman surrendering her own needs and wants for the betterment of the family and to better focus on his satisfaction is not misogyny
They are all the most loving and supportive things that can happen in a relationship.
Misogyny is hating women, it can be fun to roleplay, but it is not patriarchy.