For me, it's your penultimate sentence that is significant: 'her issues with drinking'. Whilst not an alcoholic if she's not drinking every day and dependent on it, there's people that would say she suffers from alcoholism or alcohol misuse for the fact that she is binge-drinking and out of control when doing so.
Why has it taken a drunken kiss for your girlfriend to say she'll give up alcohol? If it affects her so badly, why hasn't she learnt to moderate her consumption before, then this wouldn't have happened? How does she intend to sort herself out? The latter is incredibly important; I would suggest she shows her commitment to you by getting help, as something is driving her to behave this way and there could be deeper issues that need addressing. Don't rush into any decisions either way; it's going to take time for you both to deal with this.