On your approach, the solution to the hard problem will be of little help. We may describe the relation of the physical to the phenomenal, but it would not follow, on your view, that we would know the ontology of this so-called experiencing self. It would certainly help though, yes.
This concise paper on Merleau-Ponty's 'ontology of sense' should be immensely clarifying. The author is the most brilliant exponent of MP's philosophy that I have encountered.
http://www.janushead.org/7-2/toadvine.pdf
The abstract and a few extracts:
To what extent can meaning be attributed to nature, and what is the relationship between such ‘natural sense’ and the meaning of linguistic and artistic expressions? To shed light on such questions, this essay lays the groundwork for an ‘ontology of sense’ drawing on the insights of phenomenology and Merleau-Ponty’s theory of expression. We argue that the ontological continuity of organic life with the perceived world of nature requires situating sense at a level that is more fundamental than has traditionally been recognized. Accounting for the genesis of this primordial sense and the teleology of expressive forms requires the development of an ontology of being as interrogation, as suggested by Merleau-Ponty’s later investigations.
“. . . If I engage in an expressive act, is it not the very being of the world with which I am inextricably intertwined that is ‘doing’ the expressing? Would we not more accurately say that expressing is happening, that it is a process around which one cannot draw distinct boundaries, since it includes, at least marginally, the activity of the entire world as this impinges on the situation and perspective that I call mine?
. . . Ex-pression presses world and life out of the cauldron of sense. And if sense is ontologically basic, the classical dilemma of teleology falls by the wayside: we no longer need choose whether nature’s telos is inherent or a projection of subjectivity, since the telos of sense lies at a level deeper than the separation of nature and subjectivity.”
ps, I think this single essay might go farther in clarifying phenomenology than any other article I've linked or set of ideas I've attempted to summarize.