Is it time to abandon the cognitive / non-cognitive distinction?

We've been having some good debates with Ken Azawa over at The Bounds of Cognition and Gary Williams at Minds and Brains. A recurring theme is where to draw the line between the cognitive and the non-cognitive. A lot hinges on this distinction. For example, whether we consider things external to the brain to be coupled with a cognitive process or to constitute a cognitive process depends on what we're willing to call "cognitive." Ken has written extensively about this on his blog, but this is a simple summary of the problem: [T]he coupling-constitution distinction comes down to a distinction between X causing, or being caused by, a cognitive process, versus X being a cognitive process.