Lucy,
I used to think the FWR boards looked transphobic.
But then I started really reading the threads, and realised that this isn't about the small proportion of society that is genuinely gender dysphoric.
It's about preventing the law giving any man with a fully functioning penis the right to be in women-only spaces where they may make women feel vulnerable at best, but will also find it easy to carry out voyeurism/assault/rape.
Seriously, start reading.