Alcohol definitely promotes the Beer and Pretzels group type. People get quite chatty.
The last campaign I DMed, most of the guys were the B&P type and one guy was more into the game. I could see tension building. It's the DM's role to pick up on this and try to bring some balance to the group. Else you'll piss people off and your campaign might fall apart. Luckily, in my circumstance, I was able to bring some order to the table (reluctantly, since I'm a B&P type of person too).
I would caution against breaking the 4th wall and using the game a disciplinary measure. As an experiment to bring order to my games, I told the chattiest of players that they seemed a bit distracted in this fight and didn't notice the rogue sneak up behind them. A sneak attack later, he was less chatty and I was labeled a dick.
Also, picking up people's pizza-greasy dice is rather nasty.