We tend to take alignment a little loosely but there are times when it flares up. As in any group you have people who are selfish (neutral) and those who are anal (lawful) and those who sway erraticly between those extremes (chaotic). It truly adds to the group dynamic to have a complete mix.

There have been times when my chaotic fighter wanted to threaten a prisoner with torture (with the full understanding in the party that it was a bluff) and the lawful cleric wouldn't stand for it. We have even gotten into fights, full combat within the party, to decide an issue.

By the way, it has always been my contention that you couldn't tell the difference between a lawful good cahracter and a lawful evil one without studying the action of each one.