I can totally understand how you feel. The first four years or so that we were married, my hubby was in professional school, and I worked to support us, as well as doing most things around the house (he even said once "you only work", meaning that school was so much more involved yada yada). We had our first child while he was in school as well - but he was good about the division of labor regarding the baby, but not much else. We were often squabbling and unhappy.
Once he finished school, I quit working, and found Dr. Laura's book The Proper Care and Feeding of Husbands. I read it and decided to make a change because marriage should have been a lot happier than what we had. She teaches (in the book) to not nag, and to be loving and attentive to his needs so that he will want to do more (or as she says, "so that he'll swim through shark infested waters to bring you a glass of lemonade". I'll tell you, it works (though every man is different, but it works with mine).
She gives techniques (that work) to, for instance, ask him to do something, then if he gives an excuse or says "no", to just say "ok" and leave it alone. Then a month later or whenever it needs to be done again, ask nicely again (without emotion or hostility), and he'll be a lot more likely to do it (I'm paraphrasing).
You have to decide what's more important in life: a happy marriage (which translates to a much happier life for your child - believe me I know that one, as my parents were always at eachother's throats and made us pretty darn miserable growing up), or money, or getting more work out of him. It might well be worth you quitting your job so that you have more time to do the stuff around the house(then homemaking is your job). It is much more important to us for me to be able to actually raise our children ourselves (and care for the home, and myself, and my hubby), than to have "things". We have modest cars, a modest home, and we do without a lot of "necessities" such as cable tv, so that we can easily live on one income, and it is well worth it.
Or, keep your two incomes, and pay to have some of those things done (like mowing the lawn and whatever else would relieve you). If spending the money makes for a happier marriage, it is money well spent, and what are you working for if not to make life easier and more enjoyable. "Things" won't do that.
It doesn't work to nag; it only creates hostility and resentment between you - which I know from personal experience, and from reading Dr. Laura's book. Since we moved here to NC, my husband has mowed the lawn, for the first time in 9 years of marriage. I took pictures because I could hardly believe it. Our marriage is so much more fulfilling, and we are both so much happier now that I've learned to let the little things slide (and I'm sure not perfect either), and to choose my battles, and most importantly to shut my mouth and not nag or criticize or complain.
There are plenty of things to compromise on or work around to make things work. I do most of the driving, for instance, and our marriage is better for it. His driving is down right scary, and kind of annoying, so when he drives I end up nagging and giving helpful suggestions (ha ha), which is really upsetting to him. So, we're just better off if I drive. My kids are so used to it, they'll say "why does their dad drive instead of their mom" when they see another more-typical family with the dad driving.
Best wishes, and that book truly saved my marriage. And, I have to throw in, that as my husband just joined the military 8 months ago, he's been gone more than half of that time, and we have a year deployment coming up in the fall. It's sure made me appreciate him all the more, and enjoy every moment we do have together, and to realize what's important in life. So yes, I am basically a single mother when he is gone.