I have been toying with posting something like this and have finally decided to do so. The real problem here, for me, is "profesar": what exactly does it mean here?

It seems to me that "profesar" cannot refer to what the Commission ought to be doing, though certain actions will follow from what it "professes". "Profesar" really means declaring one's commitment to certain values, especially, though not only, to a religious faith. I think the root meaning, in terms of the DRAE definitions, is probably "4. creer, confesar. Profesar un principio, una doctrina, una religión", though "3. ejercer algo con inclinación voluntaria y continuación en ello. Profesar amistad, el mahometismo" is also relevant, I think. In other words, it is embracing something openly and in a sustained manner.

Since I don't think "profess" really works in English here, I am led to the idea of commit oneself, in the sense of "nailing one's colours to the mast". "Con mayor claridad" seems to me to imply manifesting something publicly; to that extent I agree with Neil's "express", though I don't think that's quite the right word. I'd suggest "commit itself more clearly to", with "make a clearer commitment to" as a possible alternative.

For the rest, obviously "should" or "ought to" would do equally well; I've used "ought to" partly to avoid duplicating Neil's "should", but neither seems clearly preferable to me.

As for "armonía", I think Robert's "reconciling" is a very good idea, and I would have used it myself, but again I didn't want to duplicate another answer. "Striking a balance" seems to me a reasonable alternative.