Not much people can do to help until they become aware that ALL people are on a gender sliding scale, as it is with sexual orientation, and perhaps when neutral gender pronoun use is accepted, neutral bathrooms the norm.
Many extreme transphobia problems seem unique to the US, mostly from lower income evangelical Christians.
I'm a partial transmale who dresses androgynously, so don't usually experience hostility.
When I was still living as a married hetero cis female, I used to get physically ill for days after attending church dressed in nylons, heels, and dress, or before and after family reunions where I was expected to play a gender role. The dissonance made me feel sick, sometimes for weeks.
To get relief during family events, I'd generally say I was going for a jog, then run off into the woods where I felt one with nature.
The assumption that "men" and "women" should dress or behave in certain ways can be a problem for everyone. Schools shouldn't divide children into "boys" and "girls" because cis people have no idea how traumatizing it can be for a trans kindergartner to be forced into the "wrong" line, or shamed for dressing out of expectations.
Stop telling children which games to play or toys to choose based on physical appearance.
School uniforms are insanely gender binary-promoting..stuffing everyone in one of two gender boxes.. I can't imagine even a cis girl being forced to wear a skirt all day, thus not allowed to tumble, climb, run freely, or sit comfortably. It's a torture method beyond belief. If a girl wants to wear a dress, she can, but if a boy wants to wear a dress, he should also be allowed.