"Thirdly our enemies are the same, those who are transphobic and usually homophobic as well."
Except for the parents who send their kids to the Tavistock Clinic because having them be trans is better than them being gay, of course.
Or all of Iran.
Not to mention that 'homophobia' involves explicit nastiness about and towards gay people while 'transphobia' involves 'anything that deviates from the accepted orthodoxy and includes a lot of gleeful misogyny'.
"Firstly because trans and LGB people have always stood together in solidarity and been stronger for it."
There's always been conflict between the L, G and B, never mind adding the T in there. Women have not always been well-served by gay rights activism, despite contribution and support. The idea that the whole LGBT community are also in favour of women's rights and are wonderful feminist allies is something gay men like to tell themselves, but it's not true. There's plenty of misogyny there.