Wasn't the AIG-37 the one the VFX team on ST XII called the "Boolean Gun"?
Haven't heard that before, but that has a nice ring to it. Reminds me of the "Binary rifle" from Halo 4, though I wouldn't be surprised if that was intentional.
I'm assuming that would refer to that one golden-eyed ensign on the bridge whose (poorly-delivered) line was cut from the theatrical version. Always assumed he was some kind of TOS-style binar or something, but this works too.
Not sure if "established" is the right word, though, since the actual species name was never made canon. OTOH, we could always assume some kind of Trill-style retcon (Odan vs. Dax) or else assume, as I do, that the K'Normians are at least partially multi-ethnic. Either way, they're almost certainly NOT Federation members; the Novelization mentions a number of times that Kirk and Spock have a little trouble with Mudd's ship because they keep having to use their translators just to read the flight controls properly.