MOGAI is imho the best because it is truly inclusive of anything that isn't cis- and/or heteronormative (including heterosexual and heteroromantic e.g.) and intersex people who would otherwise be invisible. As you said, it would be a term that wouldn't need to be constantly extended whenever we figure out that there is more to the human experience.
"MOGAI-Community" also rolls off the tongue nicely.
In my day to day, I call myself queer (that includes for me anything from LGBTQIA+).
Why would it suppress left politicians? It's not like any of them have multiple extremism convictions, that's usually rightwing politicians.