How did you intuit that?
Public acceptance of Gay sexual preferences must lead to public acceptance of all non-normal sexual preferences which includes a group of men who want to be women but not have their penises chopped off before they go into the girl’s shower.
If you accept the former, you get the latter.
There is no longer a logical basis for opposition.
Had we maintained culture’s previous status quo (approximately: do what you want behind closed doors) , we wouldn’t be here.