The story continues exactly where season 1 ended. The flow really changes and this season plays out much more like a game and military themed mix. Think of it as police and military versus the terrorist Ajin and that tells you what all 13 episodes will revolve around. There is a fair amount of action and combat while it progresses the whole Sato war threat scenario as foretold. There isn't anything revolutionary here but it fills that need for action well. I would say this season was more interesting than the first.
To figure out if this season is for you, just think about the end of season 1 and if it made you want to watch more and figure out how the events play out.
Everything else stays the same, animation and characters. The main character is as annoying to watch as always.
There is a strong liklihood for a season 3 as expected.