Alcoholism is a progressive disease, that is, it never gets better, only worse. Abstinence only is not recovery. What you are seeing is the ugly 'ism' (I, Self, Me) of alcoholism still progressing in spite of the fact he isn't drinking full-time.
My best suggestion would be to educate yourself on alcoholism-read the stickies at the top of this forum. Two excellent starter books for you are "Codependent No More" by Melody Beattie and "Women Who Love Too Much" by Robin Norwood. If there is Alanon available in your area, I would encourage you to attend as it will help you to put the focus on you, and what you want out of your life, despite what he is/isn't doing with his life.
You already stated your husband was an alcoholic when you met him, so you knew it wasn't going to be easy.
Now is the time to start looking at your life for you and that precious daughter of yours, and decide what is best for the two of you.
:ghug :ghug