While the cause behind each letter is worthy of support, and minorities standing together makes sense, I think Mike is right, you need to think this through and stop the Letter Salad, because it stops communication, and the last one in the OP is or borders parody, which is not what you want. A single word or two words or an acronym or a slogan that conveys the main message will be better, so what is that? Maybe a main group message, a flag to rally round for the in-crowd and a main message for the out-crowd? "Let Me Love", "Mind Your Business", "Identity Attraction"(1), "Identity Fixation" (2), "Just Love Me", "Let Me Be Me", "Love Your Love" (3), "Love Me Anyway" (4), "Identity Rights Movement".

I like (1) or IA - Identity Attraction, because it covers most of what the longest list of letters are about. (2) is (1) gone wrong, when defining identity becomes a hobby or obsession. I think (3) is a good one, and (4) is not too bad either.