OP your husband doesn't sound particularly kind. You have a neurodiverse child and another younger one who is ill and waking throughout the night. He should be working with you to make life as easy as it can be at the moment, not creating arbitary 'rules' !
Given your circumstances he 100% should be pulling his weight in the mornings to help you get everyone ready. Not expecting you to get up, on little sleep, make HIS coffee as well as your own, deal with getting children ready and out the door while he disappears off to 'work'. No way would I put up with that!
I am not a morning person but my dh is, so when dc was small and breastfed, (that meant me up in the night) he'd get up every morning with them and make their breakfast and bring me mine in bed with coffee(s).
This has continued to this day and dc is late teens now. Dh gets up and makes breakfast and I get mine in bed! He hates eating in bed but I love it.
We have a very even distribution of duties so it all evens out over the course of the day but it really works for us.
Your dh needs to look after you more. I suspect you do 99% of the family life stuff...?
Bring up your coffee machine and enjoy that first uninterrupted lovely coffee! Sod him.