The amalgamation of gender bias against women is misogyny. People like to wax poetic about the obviously misogynistic boogeymen like roosh or redpillers, but ignoring the reality of the situation -- that misogyny us upheld unwittingly by people that most would consider 'normal' -- doesn't really help anyone. It's like saying that racism is what the Klan does, not what normal people do!
It is not misogyny, and if you keep conflating them, then you will lose the support of most people with common sense.
Yes, there is gender bias, and yes we need to fight it vigorously. I do not want my daughter living in a world where she is considered an afterthought, or even a single atom inferior to a male. I want her growing up knowing that she is a full equal to any male on every level. And it's an uphill battle because of gender bias.
Not all misogyny is gender bias, but I think there is a surjection. It's not an uphill battle because of gender bias -- it wouldn't exist at all without it. Socialization is the primary difference between the sexes, and that is how inequality perpetuates itself.