I recommend reading up on the scientific studies done by Gad Saad AKA the Gadfather. He gives evolutionary psychology reasons for all of this.
Feminism is connected with cultural relativism and the ignorance of facts in favor of feelings. Now feelings are valuable... and at times perhaps valuable than facts. This ties back to Thinking, Fast and Slow, which is the research of Nobel Economics Laureate Daniel Kahneman. System 1 thinking is fast and based on feelings, while system 2 thinking is slow and based on logic. In life or death emergency situation, feeling will help you survive better than thinking critically.
There is undeniable research evidence that even baby male monkeys prefer playing with trucks over playing with dolls, and that baby female monkeys prefer playing with dolls over trucks. Testosterone fuels hunting over gathering and engineering over gardening. The differences between male and female hobby and career choices are inherent in biology. Of course, this is more of a generalized trend than absolute rule, but on average, there is a real biological reason why women are less likely to go into computer engineering than men and that men are less likely to go into sociology than women. Humans are born with inherent cognitive biases. We are not completely blank slates as the cultural relativist school of thought will have you believe. All human behaviors are a mixture of nature and nurture.
It is good that feminists appreciate the value of nurture and feelings, but it is very damaging when they bash nature and logic. There needs to be an yin-yang balance between the different ways that humans perceive their environments and form their metaphysical understanding of the world. When you apply only one frame of perspective to all situations in life, you will inherently increase your confirmation bias and arrive at faulty explanations of observed phenomenon.
So in a sense, patriarchy does exist and conflicts with the interests of feminists. Yet patriarchy was needed for the advancement of civilization. In a purely matriarchy society, we would still be stuck in tribal warfare stone age. The struggle between patriarchy and matriarchy can be seen as the struggle between nationalism and tribalism. The matriarch believes in the importance of blood ties and personal favors, because her focus is more on feelings. The patriarch believes in the importance of rules, ideas, and logic, because his focus is more on thinking. A balance needs to be struck between both ways of life to maximize human productivity and happiness.
Yin Yang is not woo woo BS, it is the ancient way of describing the set of traits associated with estrogen and testosterone without knowledge of modern technical terms. We see today that men have a bit of estrogen and women have a bit of testosterone, so the analogy is more profound than most people initially perceive.
What feminists should be doing is embracing the comparative advantages of femininity and building up the power of the positive yin energy. However, they adopted the communist philosophy of bring everyone down to the lowest common denominator by applying negative yang energy instead to bring down the patriarchy.
I'm 100% against the negative yang influences of modern day feminism, but I'm willing to help building up the positive yin influences of the altruistic matriarchy and finding a way to synergize it with the positive yang influences of the patriarchy to benefit all of mankind.