Control your drinking. If you're drinking so much that you're drunk dialing every night and stirring up conflicts with everyone in your contact list, consider toning it down a bit. Having less to drink when you go out helps you make better judgment calls at the end of the night, which ultimately means making no calls at all.
Give your phone to a trusted friend who won't give in to your pleas of desperation throughout the night. This way your phone is close by if you need to make a legitimate call, but your friend will be the judge of that. Let her keep the phone until the next morning if possible.
Delete certain numbers from your contact list before you go out, and write them down to leave at home in a safe place if you prefer to keep your phone with you. Key numbers to delete are: anyone who you are mad at, your significant other, your ex and any unwilling soul who frequently finds himself on the other end of your drunken phone calls.
Leave your phone at home in extreme cases of no self control. Hide it in a place where you won't search for it when you stumble home at the end of the night.