All organisms have CaMKII in them but not all exhibit consciousness, problem-solving, etc.
That is because while all animals possess CaMKII in their neural networks, it is not all organized the same.
CaMKII can be thought of a single attachment to the Time environment. Just as there are differences between what a hamster can grasp with it's paws and what a cat can, so too there are differences between what part of the 4-D environment neural concentrations can adhere.
Some research has found there is a 2% protein concentration of CaMKII in the hippocampus and about 1% in the frontal lobes. The hippocampus is essential to long-term memory while the frontal lobes are thought to be essential for knowing future consequences, right or wrong sort of thing.
The structure of our frontal lobes and other parts of our brain are such that we can not only adhere to part of the Time environment but alter part of that environment by imprinting the 4-D environment like footprints in sand.
Unlike footprints however our imprints get distributed to other parts of Time that are also adhered to by other parts of the brain.
It would be as if the beach with a palm tree had a footprint and the beach could deform and move, fold upon itself so it becomes increasingly distorted but still maintain the impression of the foot regardless of the deformation and eventually Churn back to original beach with the footprint but now the palm tree also has all or part of the footprint. It may seem weird for primarily 3-D evolved creatures, but normal in 4-D geometry.
The case of H.M.'s brain provides a lot of examples of how consciousness, memory and Time function within humans and other organisms. H.M. was an individual who had extensive surgery to his brain, removing large parts of the temporal lobe and the hippocampus to alleviate a severe case of epilepsy back in 1953. He cannot recall anything new but can read and can recall stuff prior to the surgery.
Without being able to hold onto new memories he could not learn something from reading an article. However they found he could "learn simple sensorimotor skills; his performance on tasks such as tracing a simple diagram improved with practice".
This ability is something that can be learned by an organism without needing to have consciousness. All it requires are stable concentrations of CaMKII, as in the cerebellum, the oldest most common brain structure in vertebrates. There are also analogues in advanced molluscs like Octopi. Muscle memory or muscle learning as it were, still relies upon CaMKII to bind to part of the Time environment.
As life evolved the other structures of the brain evolved to better sense and manipulate the Time environment just like every other Succesful Adaptation.
Eventually the brain evolved to the point where it could grasp larger sections of the Time environment, holding multiple Churn events at the same time.
When this occured, when one Churn event in the hippocampus say and others in the forebrain Churned separately but did/do so within the same Time environment, these Churns create new interactions within the 4-D environment. As one Churn event occurs in the same brain as another Churn event, the different pieces of the Time environment inermingle creating new 4-D structures or impressions in the 4-D environment.
As organisms started to get complex, multicelled they also started to sense more and more of the internal and external environment. Just as the 3-D environment can 'shape' how one organism can evolve and be better suited than it's peers to a niche, the Time environment also 'shaped' the way the brain interacts and evolved.
At it's most bare essential, consciousness is simply the ability of an organism to hold multiple Churn events concurrently. The more or stronger the grip on 4-D, the better the awareness of the organism has of the environment including itself and other organisms.
We will take a look some evidence of this hypothesis, which by now for the author at least is a theory, but first one quick page on how the 4-D or Time or perhaps quantum envrionment would 'appear' to our frames of reference.