Yet I get the feeling you want them to be the focus in every game.
I am surprised though by the fact you chose Caesar's Legion.
I think part of my perception on these forums is warped by the fact I agree with a lot of what is being said but because I love the Enclave, enjoyed Mothership Zeta, am a huge fan of Fallout 3, mostly enjoyed Fallout 4 but found it disappointing compared to NV/Fallout 3, and love Skyrim that I'm defined by these qualities versus the other elements of Fallout I enjoy.
I mean, we could talk about Honest Hearts, Dead Money, Ulysses, and the Powder Gangers and I suspect my conversation would not be substantially different from everyone else. I really enjoyed the moral choice between Daniel and Joshua Graham for example. In real life, I'm a pacifist and would hate to see any kind of conflict but the National Park is a place where human survival is at stake. I sympathized with Daniel's views even as he was also infantalizing the Natives.
Certainly, I despise Caesar's Legion but I could argue that they make a twisted kind of sense but for the misogyny and slavery. We want conquering dictators who solve all of our problems. House provides that, though, without the anti-intellectualism and sexism as well as destruction of human rights. But then if you're the kind of guy who wants a conquering dictator, why not become one yourself?
I love House but the question always comes down to, "Why be the Boss' main goon instead of the Boss?"
I have a huge number of favorite moments from the game, though. They also vary between my characters.
Notably, I've played NV three or four times with:
* The Lone Gunslinger (Independent)
* Agent 47 (Mister House)
* Gordon Freeman (NCR/Independent)
I wonder, for example, how many people would be surprised to know New Vegas is my all time favorite of the Fallout franchise? I consider it a superior game to Fallout 3 and probably my 3rd favorite game of all time after the Witcher 3 and Skyrim.
Maybe 4th as V:TM: Bloodlines is better until the final third of the game when it's pants. NV and Bloodlines just edges out Deus Ex: Human Revolution because of length and replayability. Fallout 3 fights those but ultimately, isn't anywhere as good as NV. I still love it, though.