You have thousands of sensors receiving information at very high rates, ALL the time. Whether you are focused or not, you never have any direct awareness of their individual signalling.
Yes, focusing is the solution to being overwhelmed by large amounts of continuous information.
Having more information doesn't negate the value of having a focus at any given time.
In the meantime, all that information is being processed. Surprising, important, painful or pleasurable information, across all our senses and internal sensitivities, is ready to interrupt our focus at any given time. And available to become the next focus.
Your conscious mind does not have access to the low level sensory machinery. Even if you focus, you will only be aware of a "high level summary" of what your sensory equipment is measuring.
It's similar to the way in which your brain is filled with billions of little analog add units, but you have no direct access to them - you do arithmetic with higher level components and structures in the brain.
We already have a means of limiting our cognitive load relative to the vast stream of sensory and internal information: focus.