Whoa, a lot to respond to! Okay, first, MENSA is far from an elite society. It's a semi-elite society for douchebags who want to think they're elite. And I don't say "douchebags" because I think I'm smarter than they are, but because anyone willing to go through the application process for a pointless and non-functioning "genius society" must surely be a feminine hygiene product. Furthermore, if 5% of the population applies for law school, and it's not the top 5% of the population, then the top 10% of applicants are certainly not in the top 2% of the population. If people of above- and below-average intelligence apply with equal frequency, then the top 10% of applicants to law school would be in the top 10% of the general population. And I think it's pretty silly to assume lawyers are universally at the high end of the intelligence scale.
Soft factors do matter -- as a tie-breaker. I was around 25% to get into some of the schools I got into, according to chiasu. My numbers didn't get me in, but my numbers also didn't rule me out. If you're going to be admitted based on your soft factors, you still have to (generally speaking) fall into the wide range of "admittable" students. A 164 will not cut it at HYSCCN, no matter what. You would have been much better off applying to a couple of schools between American and NYU, where your soft factors could have given you a boost.
One more thing: If you don't believe that other people have soft factors that are just as impressive as yours, go onto lawschoolnumbers.com and look at the profiles of some of the people who will be attending Stanford, Chicago and Yale in the fall (three schools that notoriously emphasize soft factors). I thought I had killer soft factors before I started lurking over there.