I think a lot of people in the comments don’t know what “transitioning” actually means. The most basic and common meaning is that it is the act of changing how you present to the world. It can include clothes, makeup, play activities, names, haircuts - all of those external markers we as a society treat as gendered. Conservatives are pulling off the exact same thing they did with the satanic panic, the red scare, and other artificially constructed crises. Allowing your child to transition means allowing them to present in a way that matches their self-identity. Most of the rest of their hysteria is driven by Chick Tract level bullshit.
Different studies show different statistics, but in general between a quarter and a third of all trans persons get surgery at all. It is much more common among trans men than trans women, with the most common operation being gender conforming mastectomy. The reason should be obvious - it is far harder to present as a man if you have breasts that show through your clothing. Trans men with smaller breasts will often opt to simply wear a binder, which is basically an article of clothing that compresses the breasts to make them less noticeable. That obviously includes young people.
So when you’re arguing against “letting a child choose their gender” (they’re not choosing it, they’re expressing it just like every other single child does), that’s pretty much what you’re arguing against. You’re arguing that “Boys can’twear dresses” and supporting laws to that effect.
We’ve had those laws already, until we realized that they do society no good and are needlessly cruel, so we got rid of them.
There’s two tricks I have that work pretty well for me.
The first is like the advice from Hitchhiker’s Guide about the secret to flying is to throw yourself at the ground and miss. Think about the problem long enough to get an idea about where the trouble is coming from, then go do something else, like take a shower or work on something else. Don’t watch tv - that will fuck it up - but basically it’s distracting your conscious mind to give your subconscious time to work on it without being bothered. When it comes up with something, that’s when you’ll become aware of it. Going for a nature hike or bike ride is also a great approach.
The second is to try to prove the opposite. Try reversing the argument and say “such-and-such is impossible” and try to build an argument around that point. When I do that, it makes the other part of my brain - the annoying and iconoclastic part - say “But what if…” and the answer might lie somewhere down that path.