So he works 60 hours a week (does he actually need to? Sounds v workaholic) at one job. You have a f-t job of 36 hours PLUS you do 100% of the childcare, 100% of the housework and 100% of the finances and sorting-out-of-stuff. In other words, as well as your full time job, you are a nanny-childminder, cleaner and work in admin! If you added up all the hours you spend working at these various roles, it would add up to miiiiiles more than 60 hours.
He sounds like self-centred, entitled sexist. He is treating you with zero respect. I bet if a colleague asked him to take his cup with him when he left instead of on his or her desk, he would just do it. In face, I bet he wouldn't need asking. So how come it's too much to ask when it's you? It's treating you like a servant. Sounds like he just wants to indulge in his work as much as possible and not let family or domestic life encroach on that and in his mind, you are just staff there to facilitate him being able to do this, without complaint or any needs of your own, without him needing to acknowledge, help or even respect you. It's like you've become a 'thing' to him, an object to let him live his life how he wants it, like a car or a computer or kettle.
How he dare say he thinks it's important for your DC to contribute when he refuses to, I do not know! One rule for him, one rule for another, hey? Sounds like he's seeing them as parts of the machine that keep him happy and his life running how he likes it too. But please think about your DC in this. I don't know what combination of sexes you have, but this family set-up will teach daughters to be dometic doormats and drudges and sons to be sexist pigs who believe their future partners should do everything in the home. That's not good for them!
This man is a disgrace, my blood boils om your behalf! First thing, stop making him breakfast and lunch. Start small. He's clearly not an invalid and he can hardly hold your hand and force you to make his sandwiches.
Write down everything you do in the home. Tot up all the hours you do in your job, looking after the kids, the housework, the finances, the household planning, paying bills, etc., and pit down in black and white just how much you do, then show it to him. Let him see how unbalanced things are and see what he says. If he's an academic, he's clearly not a stupid man and will have to see how unfair things have got. Don't let him get away with sexist crap like childcare and housework being women's work. You both work ft, so should both do an equal share or at least proportional. I think that whatever he says, you two should have some counselling, because it sounds like he's got into a habit of viewing you as staff and of course, the current setup works great for him, so why should he change? It'll take a lot of work to get him to see sense, I think, sadly.