Don't get me wrong, there is definitely a mating dance, but it often times is initiated and engaged in by men, as in, the women watch, receive, ignore, deny, or accept.
Men are far more prone to engage in lekking than women are.
Now, regarding human love, that's different, but I don't think you're talking about that, what you are talking about is courting.
"The same can go for many women who go leaps and bounds for a certain someone they find special just to even notice them. It's the same in both realms of gender"
^Sure, there exists a population of women out there who go leaps and bounds for a "special" man to notice them, though, to be honest, this idea makes my mind immediately think of the scenario of a school girl who has a crush on "Mr. Big Guy on Campus", but I could be wrong.
And, I know I am in the minority of the female population in that I have tended to be the initiator of my romantic pairings, but this rarely if ever entailed my going through leaps and bounds to get a guy to notice me, but rather entailed my noticing a guy I liked, and simply proceeding to getting to know him by, well, getting to know him.
After all, as women with eggs more precious than semen, or more "valuable", we do, in fact, tend to be the choosers or arbiters of our mates.
Not to say that men do not have any choice, or selecting, they do, sexual selection does go both ways.
But, women do tend to be far more selective than men, period.
Case in point, if you are a female and you want to get laid *for free*, executing such a task will be far from difficult, but if you are a guy, with some exceptions, of course, such a task will be extremely difficult.