Just be aware the person (I know her) who originated the mobius symbol really hated the puzzle symbol and used the mobius as an alternative to that, not something to be made into a new form of it. Also, she didn't borrow the rainbow from gay rights, but from the idea of "spectrum".
The main reason I personally don't like the puzzle symbol is because it makes it seem as if autism is just inherently puzzling, when it's no more puzzling than any other part of human nature. If autism can be represented by a puzzle symbol then every other kind of neurology ought to be as well. The only reason it is made into a puzzle symbol has to do with a long-standing tradition of us being described as inherently mysterious and hard to understand. When to ourselves, we're not. Nonautistic people seem just as mysterious to most autistic people, but because they're the norm, then they're not "inherently mysterious". It reads like an imbalance to me and I don't like it. Like nonautistic people think they don't understand us because of something innate to us, while we don't understand them because of something innate to us. Rather than being, we don't understand each other, because we're different from each other, and it goes both ways. So the puzzle thing has always occurred to me as a very one-way sort of understanding of us. (Then again I've studied the history of perception of autism more than almost anyone I know, and this idea of us as inherently mysterious goes all the way back to the psychoanalytic days, and explains many people's voyeurism towards us. There are very few other conditions seen as so mysterious, and that bothers me, because it's not like we understand those any better than we understand autism. The "mysterious" thing strikes me as a mirage, or a glamour (in the old magical sense of the word).)
But if you are going to use it, is there any chance you could tone down the primary colors a bit? I can't look at it without my eyes jumping away. I mean you can leave it alone if you want, I'm not trying to force you to change any of this, just giving my reactions.
_________________
"In my world it's a place of patterns and feel. In my world it's a haven for what is real. It's my world, nobody can steal it, but people like me, we live in the shadows." -Donna Williams