Its hard to take OP's viewpoints seriously when you realise this just another faux moral outrage. Trans people are the latest in a long line of minorities to be demonised.
It's pretty sad people think men are having their penises and testicles removed just to win in their chosen sport.
It's also pretty sad that people think women are delicate flowers and that competing with trans males will cause them to be hurt. The same argument was successfully used to ban womens football in the UK.
Its also pretty sad when people use the 'they're taking away spots from actual women' argument. For some reason, this only ever applies to trans women. Not trans men. Nor women who have exceptional talent and compete alongside men in male sports.
And their argument also ignores the existence of intergender people. Remember Castor Semenya? When your argument includes demands to visibly check peoples genitals especially those under 18...you might want to stop and think 'are we the baddies?'
& furthermore I'd like to think we could all agree that governments deciding who can & can't compete in sports is fairly sinister. Such decisions must rest with the governing body.
Ok let's break down your post.
First, you seem to miss the point that is being discussed here. This is not a question of trans people being demonised or not in the context of the society as a whole, this is about trans women in women's sport.
I really don't know why do you have to comment about they're genitals. There are plenty of trans women that kept their genitals despite being competing against women, Lia Thomas is the prime example of that to the point of leaving biological women uncomfortable with her in the locker room.
Also its not because a few think that women are delicate flowers that biological males should compete with women. Its one thing to having sexists thinking women shouldn't do sports because they're place is at home its another to think its fair to have biological males to compete against them including in contact sports and that brings me to your next point, of course people are talking about trans women because they are the ones that are taking opportunities away from biological women in sports. I am glad that you bring trans men too, if what really matters is hormones why aren't testosterone filled trans men winning sporting events against biological men the same away their women counterparties do?
Also if biological women with exceptional talent compete against men why would trans women compete against women? They are biological males after all and if you are not good enough to compete in professional sports then train more instead of taking spots away from people of the opposite sex. If there is one category that is open to more than one sex its the male one not the female one.
You also bring Semenya to the fore but she is a very different case. She is not 'intergendered' like you put it she is intersex but was born with external female genitals and always identified as a women. Not saying that's fair that she competed with women but as far as I know she was considered a women since she was born.
Finally, a trans woman can live as a woman during a normal life but still recognise that because she is a biological male she shouldn't be competing with women in sports. There are actually trans women that think like this but they are ridicularised and attacked by trans activists. And frankly if the dominant voices in the trans community and their allies were not so reluctant in having an honest conversation about how to integrate trans people in sports instead of being aggresive, you wouldn't have such an intense backlash from the society at large in a country like the US.