If we define evolution as change in the heritable characteristics over successive generations, the evolution of human societies would mean that some key behaviors within societies have a genetic basis (relatively high heritability). I am not aware of such a link between key behaviors and genes.
However, if certain behaviors lead to much higher fitness than others, I assume that such behaviors would become more common, either through genetic or non-genetic inheritance. If we include non-genetic inheritance, then changes could happen faster and could affect whole societies. Evolution of human societies would be a more probable phenomenon.
Evolution at the level of human societies assumes some form of group selection. Some societies are more successful than others and spread or send more dispersers than others.
This assumption also views societies, or certain key behaviors within societies, as something that is relatively static, in the sense that the key features do not change often.
This kind of thinking reminds me of the processes acting in metacommunity dynamics. Metacommunity is a set of local communities that are connected through flows of dispersers and matter. The key processes are local selection and dispersal, although in the long term also ecological drift and speciation affect community composition. The relative strength of local selection and dispersal determines whether community composition is mainly driven by local conditions or by what happens in the surrounding landscape.
Mixing of societies through dispersal was earlier mainly regional or national but is now increasingly global. Also the spread of ideas that could form non-genetic inheritance is much faster through media and internet. As people move more often long distances, dispersal is likely to override local selection. This leads me to the conclusion that only such inherited characteristics that are changing within most societies are likely to prevail at the local scale.
To conclude, I assume that evolution of human societies through genetic inheritance is not likely to play a key role in the short term (within a century or two). Non-genetic inheritance could play a more influential role.