No, the smilies were because of the points that were made earlier which I found rather funny.
But, again, why? Why should Conan and Heracles (good examples I think) be different classes? It's not like they really do anything particularly different, just different in scale. Conan does amazing feats of strength, for a mortal. Heracles holds up the world for Atlas for a while.
In a system where every other class goes from lowly to supernatural, why should fighters get left out?
Considering the promise of being able to play Heracles is something that has been associated with fighters for decades now, I find it a bit strange to think that after all this time, we should have a completely separate class.
Then again, 3e gave us Book of 9 Swords which basically did exactly what you are talking about, so, maybe it's not that far fetched. Eldritch Knight adds casting onto a fighter, so, yeah, I could see how a sub-class of "Mythic Hero" might not be a bad way to go.