One relatively simple place to start is with school boards and school curricula. If your local school board is looking for community volunteers for reviewing sex education, sign up. If yours already has an approved curriculum, check its content around gender identity and puberty, particularly if you're in a blue district.

It is very probable that you will not face push back if you flag content that uses "people with penises" and "people with vagina" languages. Most parents don't expect that in sex ed and don't want that in sex ed. They expect gender identity content to talk about dysphoria, medical transition, and anti-bullying. They will be like many of us were: shocked when we saw what was happening with language.

Other places to start is with sports and supporting girls like Selina Soule. You can see in comment sections on articles about her case that most people understand how unfair it is to make girls compete against non-medically transitioned boys.

Again, this is another area where transgender inclusion happened basically in secret. People assumed sports federations required medical transition and that there was solid research that HRT reduces male sports advantage. When cases expose that this is not the case, even many progressives understand this is unfair. That's part of why the IAAF verdict on intersex XY women was so poorly reported: journalists knew that if they accurately reported Semenya is an adrogen-sensitive XY person and that the other two women's 800 Olympic medalists were as well, very few people would disagree with the IAAF verdict. That would weaken the prospects for transwomen.

I think the more pushback starts in areas of blatant erasure and unfairness, the more people will question in general. At least, that's what happened for me.