Keep it light & friendly and communicate on their level. Don't escalate a situation by injecting your own emotion into it.
You can show disapproval and dissappointment; and you should because this is your business that you're running. However, the person you're dealing with is eventually going to sober up and if they have any shred of decency in them, hopefully they'll realize how much they screwed up. They'll not only apologize, but tell their friends how great you were and what a great time they had.
Again, you've diffused the situation by being friendly, you've shown your disapproval. And preferably in a private conversation, let the person know that you are running a professional organization (not just in words but in actions and visually in the way your organization is run and the people who work for you) and that the person is being disruptive.

If it gets to the point where somebody is being totally unreasonable or abusive, well that's what the 250 lb guy in security is for. Take yourself out of the situation and let somebody who deals with this sort of thing for a living try his hand. (again.. this is somebody who you've hired and is capable of diffusing situations in a friendly manner yet remain forceful that they're going to be obeyed no matter what)
If the situation gets dangerous, hopefully you've hired some private cops for performance night. Just their presence alone can put a stop to most situations but hey, he's the guy with the gun and that's what he's paid for.