Hi OP
I sympathise with your situation. I am a lawyer but working part-time in a fairly low-stress role. DH is in finance, and it consumes him physically and mentally. He works, he worries, he works, at home, in the office, on holiday, he works. He earns quite a lot of money.
I feel guilty and inadequate knowing how privileged we are and yet how difficult I find managing our lives, the house, the kids. We have a cleaner once a week, a mother's help 2 mornings a week, and some family help, so I feel guilty and useless when I'm overwhelmed and stressed. I have it so easy in comparison to some and yet my house is still a mess and the kids are still eating little dish ready meals and chocolate buttons for dinner...
I feel resentful towards DH as well. He has effectively abandoned domestic responsibilities and is happy to outsource everything. I feel like he 'should' somehow be doing more and by not splitting things more equally I'm failing as a modern woman and mother. I have a boy and a girl and I worry what messages I'm sending them about life and gender roles.
Last year DH and I had a big talk, I was very honest about things and he was actually really great. He took it all on board and although he still lives to work, things are a bit better. Try carving out some time to tell him how you feel and see if you can move forward together as a team from there. I made a promise to myself that I wouldn't silently seethe about things, so I've been a lot more honest and open which helps.
I see the same dynamic repeated in lots of friends and family. My DSis is married to a very successful partner in a law firm but he is ridiculous and doesn't want any paid help whatsoever. He grew up in a household with a full time cleaner and nanny but won't entertain any help in his house. It worries me for my DSis (also a working professional) who is overwhelmed by their life.
Good luck OP (and others who have posted in similar situations)