Gender equality - Is it even possible?

Sigmund Freud once said that, even in his 30 years of studying the human psyche, the one thing he can't seem to answer is, what do women want?
Well, now we know Freud was a quack, but his statement brings up an interesting question, what do women want?
This might sound like an ignorant question that the y chromosome in my body brings out, but it is actually not too far from the topic I want to address.
The true question I wish to address is, what do females want as someone in our society?
Do they wish to be treated as equals?
Now, let us assume they DO want to be treated just as a man is in society.
If they do so, would they then lose what makes them females? Would men be allowed to hold door for women or pull chairs out for women or would that be seen as some insult to women? would they get offended at the inequality that this brings out?
Would the whole idea of what makes a woman today have to be completely changed just to fit this new equal status?
Would equality turn women essentially into the same as that of a man?
Now, assuming they DON'T want this, and they wish to have their chairs pulled out for them, doors opened for them and coats given to them.
Is this advocating gender inequality? Is doing this demeaning women in some way?
What about sexuality? Would equality of both sexes cause a loss in sexuality for, perhaps BOTH sexes?
Or, is there some balance of both that one can achieve? But is that REALLY equality or some false form invented to please the female sex?
The question, although it perhaps sounds a bit ignorant in the start, really is;
What do women want?