Just a couple of other things. The lying isn't personal. EVERY alcoholic who is still drinking lies about the drinking, even if they tell the truth about most other things.
Your husband isn't behaving this way to hurt you, but rather because he is in the grip of an obsession. It isn't something alcoholics choose. Now, certainly there are things he could do IF he were ready to quit drinking for good, but it sounds as if he's not there yet. Some alcoholics never are.
If you have any thoughts about leaving, I'd suggest making an appointment for a consult with a lawyer. A lawyer can spell out your options and give you an idea how you'd come out of things if you were to decide to separate or divorce. There's no obligation--you don't have to actually DO anything until and unless that's what you decide you want to do. But knowledge is power, and it can be very helpful to have a realistic idea of how those different options might shake out, rather than just having a lot of "what if"s swirling around in your head.