With all possible respect, are you high?
Stonewall, GLAAD, and ACLU absolutely have influenced legal policy and the courts. WPATH absolutely has influenced medicine - they are almost singularly responsible for the changes in DSM 5 on this topic. They were incredibly involved in lobbying the medical and psychiatric communities to eliminate the diagnosis of Gender Identity Disorder, and to replace it with a much broader description of Gender Dysphoria that has intentionally been removed from the heading of Disorder. WPATH commissioned Johns Hopkins to do studies on "gender affirming care", and then blocked publication of the studies that didn't support the results they wanted.
In the UK, Stonewall actively worked with policy-makers without public knowledge to allow people with transgender identities extra privileges denied to everyone else, and were heavily involved in shaping policy to allow male prisoners to be housed in female facilities, to require that rape and domestic violence shelters that serve "woman" must also take males who say they identify as women, to alter medical language and remove female-specific language in forms and treatment resulting in "birthing parent", "chestfeeding", and "menstruators" and similar absurdities.
Do you think that your beloved state legislators just woke up one day with a god-given epiphany and said "We really need to let males with transgender identities use female restrooms by law!" all by themselves? GLAAD and HRC have been involved heavily in lobbying states to grant access to facilities based on "gender identity" across the country. The citizens of CA didn't propose the absurd laws that give Darren Merager the legal right to show of their penis to nonconsenting females in Korean spas - that was the result of organized advocacy organization working almost completely without public knowledge to influence legislators. The same is true of ACLU, which has been deeply involved in pushing gender identity, going so far as to literally BLOCK FOIA requests for information on the number of males housed in female prisons.