Oh good lord, what passes for pop evolutionary psychology is mostly hogwash, and besides that, it's no match for neuroscience. Current neuroscience says no - there are only minor structural differences between male and female brains and as of yet, there is no indication that these relate to capabilities or aptitudes. Stop reacting with your emotions and actually think for a minute.
If men and women have such fundamentally different brains, how do you account for all the women who are adept at stereotypically male things, and vice versa? Isn't it funny how the uptick in that magically coincided with it becoming more socially acceptable to work in fields that were previously not coded for your gender? Hmm... I wonder why that is? Changing culture, perhaps?
Gender roles do exist in pretty much every culture, but you should note that in egalitarian ones, such as hunter-gatherers, little attention is paid to them. People do what they want to because personal autonomy is a more deeply held value than forcing people to do what their gender is "supposed to do." It's only in patriarchal cultures that gender roles are coercively adhered to. And if you have to coerce someone into something, it's kind of a clear indication it isn't natural.
And what about all the cultures and time periods that have different gender roles than we have now? If this were a static immutable thing, wouldn't you expect it to be exactly the same in every culture across time? But it isn't - it's quite variable. That's because human beings are individuals and although some naturally gravitate to the things coded for their gender, others do not. Which is why it is necessary to bully those who don't conform. If being male is a fairly homogenous thing (which it rather obviously is not just by opening your eyes and looking around) then why is it so common for boys to police each other into "male" behavior? If boys just have the same sorts of brains that are in sharp contrast to female brains, why is there so much diversity - not just in the world in general, but even within our culture, despite its gender boxes?
There are thousands (millions?) of women who are more adept than you at I don't know, math, spacial relations, critical thinking, or whatever other sorts of "male brain" things you seem to be hung up on, just as there are innumerable men who are adept and drawn to stereotypically female things. The fact that you seem to need to draw your identity from this sort of contrast kind of proves the point of my story.
Here’s some more on all of this, complete with citations from neuroscientists and other experts.
