I think you and your husband need to go out on a date and talk about it. I can see how he would be concerned about not seeing you but he needs to see that your kids will benefit from the schedule and you will be happier and bring more joy into the home. But, just as it is important to make sure you are spending quality time with the kids, it is equally important you spend quality time with your spouse (even if it is less time overall).
It might also be good, if you do change your schedule, to find a fun thing for your hubby to do with the kids once a week in the evening. There may also be other reasons he is not really forthcoming about (scared of bedtime). You could also mention that you would have one more day off every other week so if the days off fell together, you would have more family time.
It has helped alot of my friends who fell into not spending time with their spouse to plan a date night once a week or every other week. Doesn't have to be anything spactacular, even going for a walk for an hour to catch up and just visit.