I feel your pain, and hopefully I can be of some assistance.
I as well am in the Army and my wife stays at home with the two kids. We have had our difficult times and have moved through them learning irreplaceable lessons about each other, our marriage, and parenting.
The first question to ask your husband, especially if he a leader; Ask him how it would feel having at least one of his soldiers with him 24/7. Then explain to him that's what being a mom is like. You are a leader responsible for the development and accomplishments of your most prized possession, YOUR KIDS.
I at one time thought that being a stay at home mom was an easy job for my wife. I came home after long day at work, a field problem, or PT and couldn't understand why my wife was having a hard day... after all who did she have to report to? It's not like she was training up to deploy or anything.. Well, needless to say I just didn't get it. A couple of things helped me learn that life wasn't all a bowl of cherries for her.
First..annotate your daily schedule. Do it for two to three weeks. Being a stay at home mom is what you make it. If it is a job, treat it like one. Keep notes on all the little stuff like "Breakfast from 8:00-8:30 and so on. It will help you see what you have really done throughout the day. Keep notes in the evening as well. (Fixed dinner and so-on). As time progresses manage your day much like your husband might and keep to your schedule, it will help you be a little more efficient and accomplish more. After you have a solid schedule, post it. He will probably understand this because he constantly deals with training schedules. It lets him physically see what you are doing during your day at home. This also gives you the ability to tell him that you are busy, and what ever favor he needs done may have to wait because of "X" "Y" and "Z" are scheduled for the day. Picking up his dry cleaning or whatever it is....the dishes, cleaning, or dinner may have to wait.
Second, Join a group through MWR or something, but get involved. It helps tremendously. A lot of the Army Programs provide free child support for volunteers.
This is also where I learned my lesson.... My wife was involved with AFTB and had to teach all day as a volunteer. She asked me to simply follow the published schedule and execute the schedule. I quickly learned that executing the list to standard was difficult. I forgot that kids sometimes don't like to do things according to schedules. My daughter fell asleep when we were supposed to be shopping so I let her sleep and the shopping didn't get accomplished. My wife got home and asked how the day went and I felt horrible because even though I could command Soldiers in combat, I couldn't execute a simple task like shopping.
Last, keep in mind that you are new to marriage and marriage is a tough battle. My wife were married for three years before we had kids. We thought we had it all figured out, we were so wrong. I don't know of anybody who gets everything right the first time. Keep this in mind as you work together and figure things out. I found that making mistakes are a normal process in life, but making them in front of the one you love the very most makes it hurt just a little more.
I really hope the best for you and your husband.