Men and Women are equal but different and that is why reason exist

For every culture, country, civilization human being have realized that the Man and Woman are different. They are different physically, psychologically thus leading to different responses to their externalities, often complimentary. It is the way they are born, way they are destined to live their life on earth. It is also a realization that both Men and Women are necessary and sufficient for the continuation and existence of humans as a species. Culture to culture this difference have been celebrated in multiple ways, in terms of dress code, societal conventions and so on. Problem comes when some societies in their primitive understanding of life sometimes forget that Men and Women are also similar in many ways. In every male, there is an element of female and vice versa. Human brains are a mosaic of male and female structures. There is no one person that has all the male characteristics and another person that has all the female characteristics, or if they exist they are really, really rare to find.

"Gender is not an attribute of individuals but a social relationship, historically varying, and encompassing elements of labor, power, emotion and language; it crosses individual subjectivities, institutions, culture and language" : I disagree. My understanding is that maleness is the principle of pure consciousness while female is the principle of matter. It is the female as a substrate accepts the male. Yes, Vedic thought. Biological differences between males and females can relate to behavioral dissimilarities (such as in physical aggression and aspects of reproduction), but the majority of our biological characteristics (like our brains) reveal that males and females are much more similar than they are different. So, how should society and religion handle this aspect of dualism and similarity. Jobs should be allocated (or chosen) by each for their natural ability until at a point, the job itself evolves into a state where both male and female can participate equally. When that state is reached, then both (male and female) should have equal opportunity to participate, it is only this way that the society can maximize its ability to survive and thrive. Religion should accentuate this. The change in the nature of the job is primarily brought in by Technology: a case to the point is that of the work of a soldier. A soldier is somebody who at a point of time, needed , a considerable amount of physical strength, and that is why in early days there were no female soldiers . In modern times, because of technology (battles are fought today with automatic weapon vs swords like a couple of hundred years ago) to become a soldiers one does not need lot of physical strength, bur more endurance. Thus, we see a lot of female soldiers. 

As sex differentiated comparative advantage in tasks is dissolved, we enter should enter into a world where we perform the work that is best suited to our abilities and where an individual in a position of authority receives the same respect, regardless of gender.

Then why keep (or rather celebrate) dualism of male and female alive. If not for anything else than just to avoid wearing unisex clothing. Diverse perspectives, almost always can inspire creativity and drive innovation.  In the case of male- female, this existence of diversity is not case of controlled expansion of entropy, rather complimentary and necessary for human existence.  For every event happening in life, I would rather have multiple (at the least two) interpretations as opposed to one, as this will make life interesting, more avenues to the ultimate truth (which is the true purpose for all life)  will open up. It will bring in an essence that is in balance and unification of masculine and feminine principles – a dynamic interdependence that pervades all life. The march of technology is changing the very nature of our existence and dissolving differences under the purity of reason and rational thinking. However there will always be the universal principle that is unchanging, uncaused but is present everywhere and because of that there will also be the purpose as to why change happens, transforms and transcends all of the time. This is why there is “cause and effect”, the basis of rationality. It derives from the very existence of male and female, whether we celebrate the difference or not, it will exist in spite of it, otherwise we as human species do not survive. 

Let's embrace this difference, allow reason to exist and make life diverse and interesting.