Great insight. Regarding Mensa itself, or any claims to intellectual superiority: one of the big lessons of my life has been that being intelligent has no intrinsic value. If you are unable to manifest your intelligence in a way that can substantially (disproportionate to your effort) improve your life or the lives of others, then your mind doesn't matter. It has no impact in the world, and I am not the first person…
I think the LSAT is a pretty good... well whatever it is. It has the salient quality of being almost completely unambiguous. Out of 1000+ of LSAT questions I saw when studying for the test, I found maybe half a dozen that didn't have one unambiguously correct answer and four unambiguously incorrect answers. Of course, it assumes a level of familiarity with formal logic and English grammar/vocabulary.
Grammar, not grammer.