Im not sure that this trans thinking has infiltrated society all over the world though! I have a feeling its mainly centred around English speaking 'advanced' first world countries! Maybe in some European countries, but, i dont think its as widespread as the trans movement would like it to be. Being entirely cynical, it needs a society with enough money to pay privately for hormones and treatments!!
There are still sadly some countries that are opposed to homosexuality, thinking of large swathes of Africa, Russia and China, All of the Arab countries, and quite a few religions are also opposed to homosexuality, ie Muslim and some extreme christian sects. etc etc. If they cant accept homosexuality, i doubt very much if they are willing to accept trans ideas either!! Unless its as a denial of homosexuality?
Re the psychology, I wonder if some of it comes directly out of social media, where it is relatively easy for social media to present just one opinion and just one side of an arguement.