The "integration of experience" on my view is synonymous with the "integration of information."
I realize that that is your view, but its validity has not been demonstrated. In my view it is oversimplified to the extent that it ignores the nature of experienced reality in organisms both simple and complex.
Do you believe that jelly fish have the same "kind of mind' that humans, dolphins, and whales have? I don't. There is a real difference.
Of course there is. The cognitive science point of view has in general been that the differences arise solely from physical causes that can be fully accounted for by neuroscience or, lately, by the accumulation of 'information' in the brain. The cognitive phenomenology viewpoint is that the embodied protoconscious and conscious experiences of evolving organisms play an equally significant role in the evolution of consciousness to that played by information exchange in purely physical systems. This is essentially what separates our (your and my) approaches.
The distinctions I'm making may only be conceptual or by degree, but I do believe (1) minds - like organisms - have evolved, and (2) minds - like organisms - are different. Thus, I think there are a variety of "minds" in our reality, and they have a variety of differences.
I don't think anyone would argue with that statement except for the dualism it seems to imply.
Here is a recent book from Oxford UP that I wish we could read online. The table of contents is provided at the link:
Contents
1: Michelle Montague and Tim Bayne: Cognitive Phenomenology: An Introduction
2: Peter Carruthers and Bénédicte Veillet: The Case Against Cognitive Phenomenology
3: Terry Horgan: From Agentive Phenomenology to Cognitive Phenomenology: A Guide for the Perplexed
4: Uriah Kriegel: Cognitive Phenomenology as the Basis of Unconscious Content
5: Joseph Levine: On The Phenomenology of Thought
6: Michelle Montague: The Phenomenology of Particularity
7: David Pitt: Introspection, Phenomenality, and the Availability of Intentional Content
8: Jesse Prinz: The Sensory Basis of Cognitive Phenomenology
9: William Robinson: A Frugal View of Cognitive Phenomenology
10: Christopher Shields: On Behalf of Cognitive
Qualia
11: Charles Siewert: Phenomenal Thought
12: Maja Spener: Disagreement about Cognitive Phenomenology
13: Galen Strawson: Cognitive Phenomenology: real life
14: Michael Tye and Briggs Wright: Is There a Phenomenology of Thought?
15: David Woodruff-Smith: Phenomenology of Consciously Thinking
Cognitive Phenomenology: Hardback: Tim Bayne
- Oxford University Press
Now in paperback at 22 pounds:
Cognitive Phenomenology: Paperback: Tim Bayne
- Oxford University Press
I will search out online versions of some of the articles.