Perhaps he doesn't really understand the implications of universal computability.
Or perhaps he's skeptical of the fidelity of that kind of model. Evolution famously abhors abstraction barriers.
Would you care to quantify your 'almost everyone' claim? Are there surveys, etc.?
To add my own highly anecdotal evidence: my experience is that most people with a background in computer science or physics have no active model of how consciousness maps to brains, but when prodded they indeed usually come up with some form of functionalism*.
My own position is that I'm highly confused by consciousness in general, but I'm leaning slightly towards substance dualism, I have a background in computer science.
*: Though note that quite a few of these people simultaneously believe that it is fundamentally impossible to do accurate natural language parsing with a turing machine, so their position might not be completely thought through.
Recently published article in Nature Methods on a new protocol for preserving mouse brains that allows the neurons to be traced across the entire brain, something that wasn't possible before. This is exciting because in as little as 3 years, the method could be extended to larger mammals (like humans), and pave the way for better neuroscience or even brain uploads. From the abstract:
http://blog.brainpreservation.org/2015/04/27/shawn-mikula-on-brain-preservation-protocols/