FASTMAN.....I quit drinking (I never had a problem with it though) when my daughter was 2. I was sitting at home (like you) drinking, and my bottle was just about empty, well my 2 yr old daughter promptly walks to the fridge and brings me another one without me even saying a word. I poured what little bit there was in the bottle and put the full one up. I gave her a big hug, told her I loved her, and that she didn't have to bring daddy any more of those. I haven't touched the stuff since! We all have our reasons, and I think yours is a good one! If you feel there is a problem, then there IS a problem. Get yourself into a program for your drinking and your anger and let her KNOW that you love her and PROVE to her that you are heading in the right direction. SHE is not the cause of the your drinking (if she was I am sure you would have put her out a while back). YOU are the only one that you can blame your drinking on.
Keep trying...no let me rephrase that. Quit!!! And I am sure you will feel better about yourself and your loved ones. Sounds like you already have a good plan started. Just stay with it, and if you need to talk just let me know!!