I haven't read a post on this board that was quite this inaccurate and frankly silly for quite a long time.
Sex in mammals is binary, though biology as a general thing is all over the place. (Have you looked at tardigrades recently? Great fun, and as irrelevant to the human species as clownfish are.) Far too few people are sure about that, having been lied to about the fact so much for the past twenty years or so. Fortunately the vast majority of people can tell male from female; the species' survival is based around being able to do so.
Depictions of surgery scars are offensive outside a surgical context, which a shop window in a high street emphatically is not. The audience to this window-dressing person's preoccupation includes the squeamish, the mentally unwell, children, and amputees who didn't have the option about it; they deserve more consideration than someone grandstanding does.
The "better dead than gay" cripcrap is just that: cripcrap. It turns out that people who have mutilated their bodies and then realise they have done something they can't reverse are more likely to kill themselves in the aftermath than people who haven't. Also, trans identifying adolescents are no more likely to have suicidal thoughts than non-trans identifying adolescents; killing themselves is an entirely normal thing for adolescents to say they feel like doing. Goes along with "I'll die and then you'll be sorry!" or "I wish I'd never been born! You were selfish to have a baby!" from a fifteen-year-old.
People who are trans and non binary put up with no more abuse than women do every day. In both cases, the abuse is generally from men. Being able to tell someone's actual sex is not abuse, merely being aware of fact.
Telling the truth about sex is not hate, nor is it abuse. It is simply telling the truth.
Your children are going to be ashamed of you for SOMETHING no matter what you do, so you might as well accept that from the get-go. They may or may not grow out of it; but that is outwith your control, since it has nothing to do with actual you. They will probably make themselves cringe as well, especially when they look back and realise just how vile they were to their long-suffering parents.
The only reason people think that cross-dressing is the same as trans is that they were firmly told that it was: all under the trans umbrella, remember? (As are MAPs and AGPs.) If that claim had not been so firmly made in order to boost the numbers of trans people when that was a convenient narrative, nobody would have thought for a moment that people self-identified as drag queens like Danny la Rue, who was gay, might be trans. Now it has become inconvenient not to be able to claim that trans people are a tiny number and nobody would even know they were there, that claim is being quietly set aside and even denied as you did up there.
Remember the phrase "don't teach your grandmother to suck eggs"? Well, don't.