They cope by not recognising they are feeling dissonance, only discomfort; and projecting on to their enemies.
Logic? Consistency? Connection to reality? You're asking too much of these people.
Looool, this was funny.
They are men. They don't have to prove anything. They say the words, and it becomes truth. That's how you know they are men.
They don't have to, because they're fucking stupid. They don't think about the contradiction at all.
They insist that taking estrogen will make them female on a cellular level, and magically remove those billions of XY chromosomes in those billions of somatic cells. They've seen too many shows like The Incredible Hulk where people are shapeshifting after they get mad or drink some potion.
It's magical thinking and a fundamental refusal to understand that male and female are two separate developmental pathways, starting at the moment of conception, that cannot be reversed. Total dishonest thinking because they have no rational or scientific arguments in their favor. They want to enforce rigid gender roles by forced sex changes. That's homophobic. That's what they do in totalitarian Muslim countries.
Mammals cannot change sex and gender is bullshit.