Get over yourself. I studied for 8 months, usually in between taking youngsters to school, karate, music lessons. The dog had a habit of barking at me for food or to go outside whenever I sat down to study. The last three weeks before the test I couldn't study at all because of family and other obligations. Grow up and handle the responsibilities you signed up for. I feel no pity for you.
My advice, as a woman happily married for 18 years, is to apologize to your wife, and sit down together to make a schedule: these two hours every day (and you really don't need more) are for study... and the rest of the time you are fully available for family obligations, including earning bread by the sweat of your brow, cherishing your wife and baby, and helping make your home a place of love.
May I also recommend that you and your beloved read together "The Proper Care and Feeding of Husbands," and talk about what you discover therein.
Here's hoping your attitude improves...