The phrase "kind of society" is an expression that refers to a particular type or category of social organization, culture, values and norms shared by members of a community. Full definition
This is again about attitudes and the question of what kind of society we want. (blog.politics.ox.ac.uk)
It will conclude by exploring the possible emergence of a new kind of society — a global society, whose cohesion and harmonious life rest upon the rise of a global culture. (religion-online.org)
I was completely convinced that we would have a very different kind of society as a result of the protests that I was part of, and I think that's partially true. (businessinsider.com)