Game theory basically. Any civilizations that minimizes would be destroyed by any civ that maximizes, so the survivors must be maximizers. Furthermore any civ that minimizes would never get to an advanced stage in the first place.
>Any civilizations that minimizes would be destroyed by any civ that maximizes
Unless we're talking about hive-minds I don't think this premise holds at all.
Civilizations that culturally value domination and expansion can dominate within their own civilization much more easily than casting out into space to find alien ones. They're more likely to destroy themselves than others.