Does every member of your empire have to play games with an alignment of good?
The Olympian Gods maintains no such restrictions on players. My only requirement is that members maintain a certain level of decorum if representing the OG elsewhere on the GC site. While the OG does have some members that are part of another empire, and that those members sometimes take actions that I do not always agree with, so far, none of those actions have reflected poorly upon my empire. If that case were to happen, then I would remove (being Emperor I do have that power) that player from my empire.
The otherwise "main" goal of the OG is to support and promote a player's growing ability. That is why I grant Senator status to those who have 25 games or 100,000 cumulative points under any one character.