" I don't see anyone saying transgender people don't exist."
See above for people saying trans children don't exist.
"I just see people saying that not identifying with a particular gender does not make you trans"
Obviously.
" many people can come to terms with their body and identity without resorting to chemical and surgical aids"
I agree - good for them.
"and if they can then that is a healthier way to live and should therefore be heavily supported. "
They should indeed be supported, as should those needing medical intervention. Don't you agree?
"And many mothers know that children say and true lay believe lots of things as they are growing up and only a few of those things are really fundamentally true to the child and persist into adulthood. "
Of course. And it's very normal for a child to say "I'm a dinosaur/girl/boy/Batman/robot" etc etc. We are not talking about those perfectly normal behaviours - we're talking about kids who consistently and persistently insist that they are the opposite sex to the one they were assigned at birth, and who experience significant psychological distress because of it, often to the point of self-harm and suicide attempts. Those kids need help, and supporting them in their gender identity appears to be an extremely effective way of helping them.
"And I also see people trying to bully people into treating trans people as identified by the sex they desire ."
If your a trans woman and someone insists on misgendering you, that feels rather like bullying too.
"most /many women don't want to be treated according to their sex except in cases where their sex make sure them vulnerable."
Not sure what you mean there. Trans women don't want to be patronised, paid less than male colleagues, raped etc etc any more than cis women, but we do want to be recognised as ourselves as do all the cis women I know.
"And in the cases where a woman's sex makes her vulnerable and so wanting special treatment, well in those cases transwomen are as much of a threat as normal men."
Example?
"5 points. Can you address each ?"
There you go, but please bear in mind that I have limited time and generally try to answer selctive comments that cover a principle raised by several commentators.