I almost think that quitting on New Year's Day would be too obvious or something. That's the day that so many people try to start anew on something or quit something or make some resolution that will most likely be broken within a week or so.
With that said, I would say quit now or quit a couple of days after the Jan 1. Know what I mean? Just seems like Jan 1 brings bad luck or something.
However, if you choose to do a final blow out, be sure to not drive and take a taxi and or call a sober friend to pick you up. Or if you are gonna be alone at home and boozing then I guess you will be ok. Also just remember that you will suffer for it. Or you will pay for it on the 1st when you wake up with a nasty hangover.
Happy New Years!