Perhaps, but men do talk over assertive women as well. Because they've been socialized to believe that women are lower down the dominance hierarchy, e.g., "Don't be such a girl, don't be a pussy, etc." Boys are taught in both subtle and overt ways that they are better than girls.
Paul Kivel conceptualized the “Act Like a Man Box” in the early 1980’s, by asking high school boys what the rules were for being a man. It turned out the rules were pretty straightforward. They included:
• Hide all emotions
• Treat women as less, have control over women
• Be tough, never admit self doubt, fear
• Police and bully other boys who don’t conform.
So, you can pretend that there isn't all that much misogyny in the world, but it really is just pretending. This is not because most men are assholes - it's because of the way our society is constructed as a dominance based patriarchy - one that harms men as well.