Hi OP, I'm sorry, this sounds really difficult. What I will say overall is: it is worth putting down some lines here because I've got friends who didn't - their children are now teenage and guess who's dealing with all the teenage stuff? Yep, that's right - the women who did all the night wakings etc. While the DHs do their job uninterrupted, progress their careers (in two cases I can think of, staying in quite nice hotels too...) Whether your marriage ultimately survives or not, you're going to be co-parenting with this chap for at least another decade and a half so it's worth being tough on what your baseline is.
A commute can be a break. Depends on the commute and what you do during it.
What has helped me:
Giving DH total responsibility for some things and not getting involved. In our case that's food shopping, cooking, driving, and supporting DC football. Obviously I do sometimes cook a meal and drive places, but I don't step in if DH's is there. As rarely does he step in and do any of the tasks on my list (all of which involve thinking ahead and filling in forms...he sucks at those things...)
Having a cleaner. I don't mind cleaning but I jolly well do mind doing his share as well as mine. I put this to him many years ago: do these tasks reliably per week or pay half of the cleaner. He chose cleaner.
Churches often run dad and DC groups once a month. Although we are not religious, I used to pack DH off to one and I would spend the time catching up on work (I'm a teacher & always have weekend work) and then we'd have a babysitter that evening and go out. DH has always done better with a predictable schedule. I made him book the babysitters.
Use more childcare than you need if you can afford it. Don't think of school holidays as "time off". They're not. In fact looking after DC during school holidays is more work due to less routine.
Regarding the sleep, we only have one DC so it's easier but we had a whiteboard with a schedule on it. I just used to point to it: Saturday 1am to 5am (or whatever). Your turn!
Do get your iron, vitamin D and thyroid checked (you could also be peri menopausal?) Any of those things can make you feel dreadful. Maybe start taking a multi vit, magnesium and high dose vit D just in case (be careful with iron as the cure can be worse than the disease...)
We have done a few rounds of counselling and it is really worth it to air grievances with a neutral third party in the 'room' (which can be virtual these days).
Finally, the clutter. You can get a flat pack skip from Hippo skips, fill it gradually and then book a collection. I have to do this every few years as DH is a bit of a hoarder, although I try to contain the hoards to his garage and desk. I find the local Freegle group useful for getting rid of anything too good to skip. I find redecorating is a good way to force the issue when clutter's building up.
I realise all this is work for you to set up but just apply the test of 'will this make me feel better' to it and prioritise that way.
Good luck.