You have to bear in mind that your husband is an adult. He is chosing to drink. His relationship with alcohol is most likely more important to him than his relationship with you and your baby is - as the coming months might prove to you.
While he is choosing to drink, he is also choosing the life you and your baby live, due to his alcoholism. This is not your choice, and it is not your baby's choice. You are powerless in this, an unhappy bystander, unless you kick him out.
And worse, you are making the choice that your baby will grow up with an alcoholic father, and all that entails. 
What you need to think about is the long term effects his drinking has on your child, because this you are in control of.
My own father had a period of heavy alcohol consumption from I was 12 until I was 18. It really influenced my teenage years. I had problems sleeping, started suffering from anxiety (I am better now, but it took decades of struggling), and started withdrawing from friends.
My mum was going through the menopause, and started going to bed really early. My dad kept me up with drunken ramblings, being talkative, rubbishing my mums family, rubbishing mum, me. He never hit me or was violent or anything. But I could see his personality change with each sip of cognac, and I was very upset and hated these "meaningful evening talks". He was very critical, and kept chipping away on me, my choices, my school work, etc.
I could not be anywhere near the city center at night, the sight of drunk people made me shake with fear. The anxiety attacks over merely seeing drunk people, lasted more than 24 hours. As a teen, I could not go to any parties without shaking uncontrollably unable to sleep afterwards (and started dipping into my mothers diazepam that she kept in the fridge) "self medicating". Heck, I was 16 by then, and just wanted to stop shaking. Some days I thought of killing myself to escape. But I did not have the courage to go through with it. I could now work out how to make a proper noose to hang myself (no youtube, innit...),
Later, it turned out that my mum went to bed deliberately to get away from his drunken ramblings. She never thought he would subject me, his young daughter to the same.
She failed to protect me, but protected herself instead.
It all came to a head when I shouted and screamed at her that I was sick and tired of being kept up by a rambling drunk, that I wanted to move out, that I hated both my mum and my dad.
She fetched my dad, and asked me to repeat what I had said to her, and left the room.
Again leaving me to myself. But I did repeat what I said, and he apologized. It got better.
However, dont be like my mum who protected herself, and found ways for herself to cope, and enabling him in the process, thinking his drinking not affected the child...