He IS harming you and the baby.
Your mh is suffering and your baby will be learning to have to cope with an angry, powerful man as their father - just as you had.
This IS abusive no matter how much you excuse and try to minimise this.
Now IS the time for that ultimatum.
There is no such "list" he will be put on for genuinely seeking help and genuinely acknowledging his behaviour is way out of order.
I suspect what he's actually afraid of is medical professionals/ "the authorities" knowing he is abusive and therefore being alert to the fact that you and the baby are vulnerable.
Enough is enough op, this must be addressed now as a pp said certainly before the baby hits terrible twos and more.
I certainly wouldn't be leaving such a man alone with a baby or toddler
Attila is very knowledgeable, insightful and gives good advice on relationships. She certainly wasn't out of order what she said, but clearly it hit a nerve!
That is what you need to examine - why you responded to a perfectly reasonable and correct comment the way you did.
Tiptoeing on eggshells is not how you or your child should be living ever.
It very likely is why you're feeling low - because living that way is tense and exhausting.
Speak to him in a way that is safe making it clear he has to seek professional help or you and baby are gone - and mean it. He cannot do this himself he's proven that is true.
If I were one of those friends? Quite honestly I'd have contacted social services first thing this morning because there is a baby involved and I'd be thinking "Jesus! If that's what he's like when there's witnesses what the hell is he like in private?!"
At the very very least I'd be watching and listening closely to you for signs that you were a victim of dv.
This is not good or healthy it's not even close to.
It's one thing accepting such behaviour for yourself it's quite another tolerating it for a baby and exposing them to this.