My current game, I set it up to have 2 neutral (Arcean and the insects), 2 evil (Yor and Drengin), and 2 good (Altarians and me). I made 3 "good" choices and 1 "neutral" choice (I couldn't take a -38% production bonus!!!), so I was leaning good, though just barely.
Even after I researched Xeno Ethics and chose "good", the Altarians at best have me at "warm", but that was only after some really good gifts when they were at war. Most of the game they were "Cool" with me. So I don't buy that good civilizations immediately start liking you.
The DRENGINS of all races were "Warm" with me after I had chosen "good"! The only reason we're at war right now is because the Drengins attacked the Arceans, who I was allied with. Of course, my plan was to take out the Drengins after the Yor anyway, but I wanted to research some Drengin-specific techs first.

Anyway, to the original point, I'm not seeing a "good guy club", at least not in the one game where I intentionally went good (I normally make evil choices and then research Xeno Ethics to go neutral).