If he's drunk he will still be on the hook for murder/manslaughter, IIRC. Just about each state has a different definition of murder and most of us can't remember what the degrees are for the exam and I definitely can't remember them a month after. XD (At least I remember my own state's....)

But it's the difference between intent and not-- you can still be reckless and kill someone. All being drunk does is remove the intent. Imperfect self-defense/intoxication are mitigating factors that reduce the degree, but don't erase the crime itself.