Mr Moto,
any debate you wish to start on the genetic aspects of the human mind versus human body is welcome.
At this point in my post I apologise for getting a bit serious and anyone who just wanted to have a dig at anyone else on the basis of what the keep in their trousers should probably just ignore my rant.
Back to Mr Moto. I suspect that you are already reasonably familiar with the weaknesses of the XY chromosome arrangement in comparison to the stronger XX chromosome. True, it means that the female brain is constructed in a slightly different way to the male brain, resulting in a slight initial spatial disadvantage. However the differences between the male and female brain are not that much greater than the differences between left-handed and right-handed brains. It has been conclusively shown that differences in spatial ability btween men and women (and indeed left and right-handed people) can be minimised with practise. After all right-handed people who have their right arm amputated can learn to write with their left hand. So women will have to work harder to start with at technical subjects, and men will have to work harder in the topics that women have a natural advantage in, such as communication skills. With training and practise, however, both sexes should be able to function quite competently in the same environment.
So there is the psychology bit over and done with. Next onto genetics, a subject I studied at university but, alas, not to as high a level as neuroscience. You mentioned that the incidence of autism is higher in men than in women. This is true for many genetic abnormalities including cystic fibrosis, autism, colour blindness and a whole stack of other really weird and wonderful diseases. the reason for this is that men have their extra little dangly bits on the outside of their bodies, whereas women have theirs where they can't be seen - on their sex chromosomes. In the male sex chromosome Y, any abnormalities present are not masked by the X chromosome and manifest themselves as physical symptoms. In womens' sex chromosomes, each X is masked by another dominant X and this makes it impossible for the symptoms to manifest themselves. However women can be carriers of a defective gene which when paired with a defective gene from a male carrier can result in female babies being born with congenital conditions such as autism.
In the grand scheme of things it is not important if nature loses a few males along the way because the important job of getting pregnant and giving birth is done by the female of the species. It was intended that in evolutionary terms the females would require the extra lifespan, stamina and resistance to disease to ensure that their offspring reached an age where they could exist on their own. Of course now we all live longer, and have started to find other things to do with our time. Men have stopped building nests, catching food and shagging till they dropped down dead, and women have stopped popping babies out till they are shrivelled-up little prunes. We have the extra life time to do other things, like getting jobs, and then arguing about who's jobs they were to start with, and who is better at them and why.
So there is some background info to the good old male/female argument. Do with it what you will.