It's even worse in teen TV, where the smart female characters are more often portrayed as being love interests for male characters over being smart.
And lets not even get into the rampant sexism in most mainstream video games (and their communities), even more important for software engineering and computer science since modding/making/playing video games seems to be a common factor for many male entrants, and relatively uncommon among female entrants to the field (at least in my recent but anecdotal experience).
This all leads to a situation where computers, engineering, science, and math are more often seen as male disciplines. We may have cleaned up a lot of blatant sexism, especially in modern workplaces, but our media is still teaching our children gender bias, often with a detrimental effect for both genders (for example decreasing college rates for males, how many male teen characters care about getting into college, have their shit together, etc).
It may mean that what the campaign thinks is right is not what people want. It doesn't help that social sciences research on the subject is kind of taboo.
As a counter argument: There has been lots of campaigning on fixing the problem of limited numbers of women in STEM, but relatively few changes to the media portrayal of women in STEM or education of children to fix the problem. Perhaps more importantly, a vast number of STEM fields are in high demand, and our education system seems to be poorly equipped at encouraging students (in general) to enter (any) STEM field. So perhaps we can hit two birds with one stone and change how we teach STEM to be a more integral part of school, like the original post suggested with a relatively provocative title.
Another possible explanation is that perhaps there is cultural pressure on middle-class men to make a lot of money, regardless of how much pain is involved in getting said money. If you are only getting an undergrad degree, a STEM degree is probably the most remunerative course of action you have open to you.
Now, my perception is that society puts a lot less pressure on middle-class women when it comes to making money... but I'm not a woman; it is quite possible that my perception here is in error.
The idea of interwoving them sounds a little bit silly: a sci-fi text will bore a student who is literature-oriented in the same way that a mathematical model of romance will sound cheesy to a math nerd.
1. http://techpageone.dell.com/business/study-women-stem-career...