Some anime glorify transsexuals as cute boys who look and sound exactly like regular girls but I wouldn't go so far as to say that anime actually inspires people to become trans, it's not very different from people saying that school shooters did what they did because of violent videogames. While media can influence a person's thought process, it doesn't influence it to the degree that they're willing to destroy their life because they want to imitate a fictional character (unless they're literally retarded like Chris-chan).
What really makes men decide to go trans is that they realise, either subconsiously or consiously, that life as a man in modern western society is shit and women get everything they want without even trying so they just cop out and decide to live life on easy mode.