As I said, it is nothing but a fancy interpretation. But their psychological role is probably comparable to that of a father, at least initially, until humankind is out of the worst mess.
I really don't see it that way at all. The entire point of STAR TREK is
equality, not legitimizing someone else's domination over us.
The point of the alien inspiring humanity to unite wasn't that they were our "fathers" or patrons. The point was more, "Wow. Other people are out there, it's time to get our shit together."
This is a stretch but couldn't you call Archer's attitude that of a rebellious son?
No, I call it the attitude of a nationalist agitating for autonomy and independence whose people have been dominated for a long time.
Your points about them being a soft imperial force are closer to the text but just think about what would happen in our world if the Vulcans would land. It would be a major shock to virtually any cultural element of our lives
Would it?
I've always been skeptical of that idea. Human cultures have essentially believed in the existence of extraterrestrial life for centuries. Throughout much of history, every time one culture encountered a new one, they often viewed that new culture as being the psychological equivalent of how we would view aliens today -- as being from another "world," and sometimes not seeing that other culture as being human (sometimes in an egalitarian sense of just honestly thinking they were a separate species, and sometimes in the sense of thinking the other culture was sub-human).
So humans have a long history of dealing with strange cultures whom they contextualize as being fundamentally alien. Add to that the more recent history of the scientific idea of human-extraterrestrial contact, which has permeated popular culture for the better part of a hundred years now. I'm not so sure it would be such a fundamental shock. It would be huge news, yes, and it may well inspire humanity to get its shit together and behave -- "Don't air our dirty laundry in front of the
goyim," you might say -- but I don't know if it would be such a fundamental shock, either.