Interesting assertion without a citation! Unfortunately, you are wrong. A good meta analysis reference: http://www.people.fas.harvard.edu/~banaji/research/publicati.... I can provide more if you like. I encourage you to review the literature.
> Women in free cultures do not like STEM. That is a fact.
Another interesting assertion! I'll let you do the homework finding citations about how you're wrong here.
> I went to a STEM focused high-school ... blah blah blah
Nice anecdote! Is there anything else about high school that you'd like to generalize to the entire population of the world?