Is the Human Intelligence an Automatic Intelligence?

Question: Are we greater than our parts?
Answer: Only through their application can we advance past our default makeup.

I wish to postulate that an established neural system functions as an automatic intelligence-in that our "consciousnesses" functions based on external stimuli, physical structure, and previous experience-versus a true volitional intelligence because all intellect is geographically based and environmentally bound (As such our brain contains multiple structures specialized in either the maintenance of our body or our manipulated environment and others solely developed to consider what isn't, or could be, there). Limiting human intelligence to act within predetermined systems of an environment, or develop a new environment with new systems, an automatic intelligence if you would.
Or is the human intelligence a volitional one? Is the brain simply a housing for "us" that our consciousness inhabits? (Please do not start the whole brain damage personality altering conversation, I am tired of reading on this topic and seeing two people rant on about their conflicting views on the relation of physical structures to intellectual consciousness)

Here is the real question I wish to ask in this scenario;
Example scenario: (technological level and abilities suspended for this scenario) If you rendered a complete brain from multiple donor components, integrated either via surgery or technological process, the composite brain will function as one complete structure after a period of adjustment.
Or would you get the classic literature plot that each would retain fragments of "consciousness or soul" that are conflicting within the composite brain?