Anywho, I do agree it was out of the time period, but I didn't want to run the lesser leaders as they're known for far less (arguable) and I felt he fit well enough.
I feel like the problem is that the Aztecs don't belong in the "ancient world" classification at all, regardless of leader. Compared to the Spartans (or specifically the Leonidas-inspired Spartans), the Aztecs are more than a millenia removed--Leonidas and his stand at Thermopylae was in ~480 BCE, whereas the Aztecs rose in ~the 14th century CE.
The Spartan design is kinda hard to differentiate as the Spartans are particulary known for "Brutalness" and "Toughness" so making anything different would seem odd to put it bluntly. I think the design isn't the most unique, but fits them well enough to work fine for them.
I would say my problem with it is that it doesn't strike me as uniquely Spartan; it's more of a generic "strong military" Civilization. Some of the defining traits of Spartan culture, like the Helots, aren't represented, and the Agoge Barracks simplifies the entire idea of "Agoge" as a military one, when it was
so much more, so as to be pretty much representative of the Spartan way of life.
Naming conventions are down to preference, but in my eyes "Men of Might" is a pretty generic name, something that I see occur a lot in your designs. Agoge fits more in a UA interpretation than it does a UB, and if you insist on keeping it a UB, at least make the promotion it gives more inspired--"Prideful" is generic too; go with something like "Wall of Sparta" instead (a metaphorical wall referring to the Spartan warriors, due to the fact that Sparta did not have defensive walls). Even better, use that for a UA name--Walls of Sparta. Keep the experience gain (Agoge, after all, was a system of education) but rejig the bonuses to be less centered around flat Strength increases and more interesting. Also related: your bonuses are not nearly strong enough to make the "no training Settlers" an adequate drawback; as is, the Civilization is just heavily gimped.
I also have similar problems with the name of your Aztec UA--the design itself isn't bad (aside from its Granary replacement being boring), but its name is uninspired as well. Try something like "Flower Wars," or, if you want something
really thematic, "Xochiyaoyotl" (which, roughly translated, is "Flower Wars.") It would go well with the theme, as the Flower Wars were historically Aztec wars that were fought not for conquest, but in order to obtain sacrificial captives.
Again, not trying to be confrontational; it's great you've got so many ideas to throw around (more than myself, that's for sure), but they could use some more thought to give them flavor and make them stand out.
boost whilst they are annexed
and under your control. For every 8 Citizens
that are within a captured city that you own, gain +2 Science
per turn.
towards cities as well as an additional +1 Movement
.
and +3 Food
. Upon the birth of a Citizen
points.
. Upon the destruction of a Barbarian Encampment have a 33% chance to gain a "Sacrificial Blessing" which grants Faith 
of a Barracks or further upgrades, all units produce before the building was made gain expereince depending on the Era. All units gain +20% Strength 
units stronger than your own. May not create Settlers.
that you have your nation gains a "Democratic Bonus" which grants a Culture 
with +35% faster. Allied City-States 
Old Kingdom (Djoser)
.
