sexual segregation in Muslim -Christian religions

Lust is impure so if you can keep the two sexes away from each other lust will not come about.

Since this concept lasted so long it was hardwired into the brains of some making thought of social interaction almost a taboo.   

What I have read somewhere, is that the practice of sex segregation was a social norm of the ancient Semetic peoples of the Middle East, while among indo-european, Turkic, Egyptian, Estruscan, and native American cultures it was not.

One thing that I've always been intrigued about is why are Judeo-Christian religions so obsessed with the segregation of sexes?

Relegation, not segregation of sexes.

have never been exposed to a life where women were not included as equals in every aspect of life,

But morticia equality of sexes is blatantly not true, women are not equal to men in every aspect of life. Women are better at language and social skills for instance. The sexes weren't designed to be equal but to be complementary, everything isn't 50/50 some things are 60/40 and others are 20/80. I will agree that discrimination is on it's way to being eradicated but I don't think that women and men will ever be truly equal.

Men have had free reign and access to do whatever they wanted, including having other wives/mistresses, while forbidding the opposite sex from the freedoms which they should also be entitled to. I call that selfishness.

And I call it socio-biological pragmatism. It is one of the most basic animal instincts combined with culture. Women will ALWAYS know that their child is truly theirs but men have no idea which child is theirs, in order to propagate their genes effectively they have put all sorts of cultural restrictions on the sexual behavior of certain female roles, notice though that even historically there are groups of women that fall out of this set-up most noticeably prostitutes, men haven't for the most part tried to restrict access of other men to these women.

It must have an anthropological explanation.

My belief is that during our early history we were ruled by women as biology and society dictated our natural roles. Women could not hunt in our hunter-gatherer societies because they would be pregnant, or have a child to carry or to follow closely behind them. This meant that men would be gone for extensive periods and women would govern the home-base. Women controlled religion, history and distribution of resources. Men however controlled trade with other tribes as their scouting parties met the scouting parties of other tribes. As populations swelled, trade became more frequent, and warfare (an escalation of negotiations in trade) also became more frequent. As trade and warfare consumed resources, men slowly took away the power of distribution of resources from women, this led to the slow transition of power from women to men.

And as we all know men have only been in a position of power for 8,000 years or so. The power of women probably lasted 80,000 years if not longer, so really who is the more cunning of the two sexes?

What do you mean by "relegation" exactly?

I mean that there are strictly defined roles for the sexes in each religion, and it is considered taboo to deviate from those roles.

What you say about women ruling society when we were hunter-gatherers.... I'm not 100% sure of this assumption considering that no historical sources are there to confirm it.

Then what about all of those fat lady statues in neolithic Europe?

And why must their be historical sources when it follows logically, and besides the roles are very similar in contemparary hunter-gatherer societies.