The way I view it, people should do what they're mentally/physically good at and/or interested in.
We must be aware that both genders are wired differently in the brain and secrete different levels of hormones, and thus are better at some tasks than the other gender.
You may be suprised to learn that the Bible praises the importance of women, attributing them to powerful administratory roles and taking the lead in many cases. That was thousands of years ago.
I think the creation of equal opportunity is fine. So long as the masses are educated about human biology and cognition rather than allowing them to draw baseless opinions.