I think social structures can be thought of in terms of consciousness, and whether or not they are a "higher" level of human consciousness is mostly a question of your definition of what that means.

From our perspective we are all making individual decisions, but that's similar to how a given cell is just managing its own individual chemical reactions. What initially made humanity unique in the animal kingdom was how complex our social animal is able to be - human clans were more complex than other mammals' packs in the same way that a vertebrate is more complex than an invertebrate. Our social animal is the one that reached the tipping point of adding technology into the mix, which allowed us to add phenomenally more complexity that what evolution on its own is able to create.

In the modern day, in the western world, people principally think of themselves as individual subjects, and as Marxists we recognize that this is one of the most critical self-defense mechanisms of liberalism, since it prevents class consciousness (and allows false consciousness to form). This is akin to how our cells are programmed by dna not to become cancerous - and when this mechanism fails and a cancer/revolutionary group forms the white blood cells/police usually stamp it out to protect the organism/capitalist society.

The big difference between society and an organism when viewed through this lense is that when an organism dies its cells all die too, but when society "dies" all the people who were part of it will naturally form a new one atop the corpse of the old. Imagine if when you died your cells all hit a reset button and your corpse formed into a new person - that might disqualify society from being thought of as a consciousness, or perhaps it's evidence that "consciousness" is independent of life and death.