Oh my gosh...i feel your stress ... or is that my stress....
Men tend to have a one track mind and it's usually has to do with what they WANT to do, not what the NEED to do. I started a notebook that has the list of items that need to done each day in it. And these are the things that are basics that need done each day in order to not fall behind in the other aspects of running the house. If it's written down then it seems like guys have an easier time getting it down because it's not coming from our lips. You both can sit down and create this together so he doesn't feel like it's just a "honey-do" list.
Then I broke it it down into day sections so the long list didn't seem overwhelming. For instance, Breakfast at the top, then Clean up dishes, unload/reload dishwasher, sweep floor, Bring a load of laundry and begin wash. On the second page: Lunch, then clean up dishes/kitchen, change laundry, kids naps, pick up any toys that kids missed, Fold laundry and either put away or put in pre-determined areas, vaccuum
you can adapt to however it fits you. But start small. we found that the laundry & meal factors were the things that if we got behind there, then we were toast, so if those were the only things he got done, that was great to start with. My kids are 2 & 4 and they actually help quite a bit. when their done eating they know they have to help carry the dishes to the dishwasher. We already have the habit of picking up toys b4 we leave the room. My 4 year old can fold one mean towel.
We made a rule with dishes that no one left a dirty dish on the counter, if they were done it immediately went in the washer, not in the sink or table. I think that it's easy to get overwhelmed and just "shut down" because guys especially aren't sure how to get back on top the pile once it's started.
I don't know that's a "battle" you'll ever win to your satisfaction, but be appreciative of the attempts and strides their are. As a mom we will always desire more done.