Gender is fluid as just as much as sexuality is. Trans people have to cope with a huge amount of prejudice as well as being in the wrong body or raised as the wrong gender. They suffer an incredibly high rate of suicides too. There was a case of intersex twins being separated at birth, who were raised as different genders by the different parents. One of them never felt comfortable with their assigned gender, and when they were an adult, became a trans person, to the same as their twin's gender. Native americans call them twin spirit people.
So hell yes, to all intents and purposes they really are people who have been born into the wrong body. Rather than being red neck ciss het males, who actually have so little confidence in their own sexualities they thinks playing with their own bum holes makes him them gay, for whom sex is about rutting in missionary or nothing, we should give trans people a lot of slack.