I assume he gets paid for this?
I ask because if he doesn't, he's spectacularly out of order.
If he does, then the conversation is simply one that many couples have to have - his job, your job, the housework, the childcare and how to juggle it.
Unfortunately, I suspect that he's using the sector he works in to skew that conversation, every time. He shouldn't. What he does is irrelevant. It's how he's doing it that matters.
And how he's doing it, is making your life stressful and unhappy, and will make you finding alternative employment nigh-on impossible. You'll struggle like mad to match those terms and conditions from a new employer.
It's lovely for him to say 'he won't hear' of changing things, but that's not what an adult family man gets to say.
Take out what he does. Focus on the 'how'. Because unless he can support you all without you penny-pinching all the time, and you're prepared to give up working, you have to find a solution that works for you both. That, realistically, means compromise on both sides.