Yeah, um, ditto the whole "equal partnership" thing. What exactly is your husband contributing if he's not working? "I'm not going to do any more than you do around here," okay then, by his reasoning, I guess that means he doesn't get to live in the house, use the water, use the electricity, or eat the food.
Sorry, but your DH is sounding like a supreme d-bag, here. You need to sit down and figure this out together before the baby arrives, because it sounds like his expectation would then be that you work full-time, pay the bills, take care of the house, the shopping, AND all the baby care. If you can't find a way to talk about it without things escalating into a huge fight, maybe take the discussion to a marriage counseling office.