It seems Muslims are the only People of the Book who can't drink alcohol at all. Sorry :P ;)
Even then, I know many Muslims from living in the Middle East and Indonesia who drink. They justified it (not that they had to, it's their choice) by saying that the Koran forbids the imbibing of substances that that will change your mind and actions (I am paraphrasing here), therefore if they only had a beer or wine with dinner then it wasn't affecting them in that way and so it was ok.