On 5 that is a train of thought yes but most consider sex and gender to be the same thing it is not even close a universally recognised stance hell most people don't even know this is actually the main issue. I personally don't think gender is any different to sex and using the term gender is actually what causes most of this clusterfuck to happen.  People are individuals and the incessant need to be put in a box and categorise oneself in one group or another is part of this problem.  Embrace that you are different and yourself and stop trying to fit in a box.

Onto point 6, when I have children I am not 'imposing an identity' upon them I am calling them a boy or a girl because of their sex (I'm aware of intersex people they have their own biological problems and need to be aware of them and trying to say they are a bot or a girl is harmful). Puberty, their testosterone level, their ability to give birth, menstral cycles all have a profound effect on their health this is not something imposed upon them that is quite literally who they physically are (and we are talking transgenderism here not transsexualism).  They need to understand their bodies and what that means. When it comes to the person they are and what individual they become I'm not going to stop them being that person and embrace them as who they are. When I've bought gifts for nephews and nieces when they were very young I never got gifts along gendered grounds and when they could talk asked what they wanted.

And that is the attitude most parents have in these modern days, it was the attitude my parents had back in the 80's.  So yeah I find the idea parents are imposing identities upon kids a little unfair and outside influences generally have way more to do with it than anything the kids are doing.