The Society ATA reads as such:

Notice that the keywords read 'Secret Society of Super-Villains' and 'Society'. In order for my team to qualify for The Society ATA, does my team all have to inclusively have one keyword? Or can I combine the two keywords in my build?

So, would:

wkD-015 Amazo (secret society of super-villains)
tt007 Jinx (society)
an027 Ocean Master (secret society of super-villains)
fl208 Rag Doll (secret society of super-villains)
ata006 The Society ATA x 4

be board and legal? or does the one society keyworded figure disallow me from using the ATA?

this isn't about being a themed team, i just want to know if I can qualify to use the ATA...

coincidentally, the Monster Society of Evil ATA and the Legion Lost ATA also have two keywords...

Page 23 of the 2014 Rulebook: "Additional Team Ability (ATA) cards can be added to your force when it is a themed team."

Your Society member prevents you from having a theme team, so you could not use an ATA.

-J

RavenProject is right. The list above is not a theme team, so regardless of anything else they cant use the ATA.

(Yay for keywords being well thought out!)

That said, consider this example:

SLOSH001 Cosmic Boy (Future, Legion of Super-Heroes)
SLOSH025 Mano (Future, Legion of Super-Villains)
DOFP023R Sentinel Alpha 3 (Future)
Legion Lost x2
298 Points

You have a theme team based on the Future keyword, so you can assign an ATA.

Cosmic Boy and Mano both meet the requirements for Legion Lost, so they can both be assigned the ATA.

-J