I think the split is probably more naturally polarised than you think.
While I was studying psychology at university, I was told about a study done in Israel where a group of children were brought up with no reference to their gender. Boys and girls were not influenced in what they wore, who they played with etc.
It was found that in the absence of this influence, boys and girls were actually more likely to choose gender-stereotypical roles than otherwise.
I can't find a link to this study, so treat the above as the anecdote that it is, but I have found this article https://bigthink.com/the-present/gender-equality-paradox/, which links it's sources.
The target here shouldn't be a near-even representation of men and women in a given role, and the lack of such a representation shouldn't necessarily reflect badly on an industry or discipline. What we should have is equal opportunity - if a man or woman wants to pursue a career in an industry that is more typically pursued by the other gender, they should be able to do that without bias. As you say, there are industries at present that have a strong cultural bias for / against a particular gender and that does need to change.