I feel that there is a missed opportunity in New Vegas that must be addressed with a mod or developer apology, forthwith.
Depending on your character's intelligence, you have the opportunity to be a bit of a show off, put people to shame, etc. Medicine and Speech, as well as Intelligence, are used in many Speech checks (duh for Speech), and one of Caesar's quests can involve your medicine and his particular problem (unsure if spoilers are allowed in this part of the forum).
The Greek (and appropriated Roman) God of science, arts, and medicine is Apollo. For the Greeks, he is also the God of Sun (having been merged with the persona of Helios. The Romans only merged him with Phobos after the third century). I feel that Caesar's Legion could have been given a chance to reform, following this train of thought.
The Courier, using the powers of Archimedes II and his medicine, speech, and intelligence, to claim he is the son of Apollo, just as Caesar claims he is the son of Mars. This would allow a particularly enlightened or power-hungry courier to sweep the feet from below Caesar's "everyone must be uneducated and complacent" dogma and convince the Legion to become enlightened and educated as well as zealously loyal. Two demi-gods (one with the ability to call divine fire down from the heavens to smite his foes) would be just as worthy of allegiance, I think. Could have led to an Epilogue with some mention of the Legion beginning to reduce their savage and barbaric ways -- less sixism, cannibalism, and general destruction of Technology.