Personally I love how India has a non-combat UU, it shows a different side to Civ. Rather than just the same old build up an army, invade, build a new army, invade a new civ, etc.
Yeah, it's almost a miracle nobody considered buffing great persons for some new civ or as second UU.
All right, been going through the little file i've made to remember the uus, and i've identified several uus needing a buff:
Too bad you put up your list in quotes. Now I need to scroll to see your list.
Eagle Warrior: +1 happiness/5-10 turns for every enemy slayed (in reality Aztec military were trained at capturing enemies alive in order to sacrifice them later which supposedly appeased the Gods, so kept the population at large happy).
Foederati: Less or no war weariness if/when these guys are defeated in combat (they were not part of the core citizens of the Byzantine Empire).
Dao Swordsman: if overpowered, take away a

point? If underpowered, make them immune to axeman in combination with the

point reduction. Essentially you'll have a weaker city raider, but with a good amount of first strikes.
Huluganni: to compensate against the benefit loss against axeman, give them a boost against archers (more crew on a chariot which gives them extra chance to overwhelm ranged soldiers like archers).
Mohawk Shooter: give it the "heals while moving" promotion too. My first thought was to give it a melee/ranged benefit, but IIRC some other UU of yours uses that one already.
Gladiator: the 2XP extra in lieu of the Colosseum doesn't really work well. Two completely diverging techlines, and very likely you're capable of training maceman already before the Colosseums are finished/necessary. I'd say put the Gladiator in the Crossbow slot. A non-ranged unit with a benefit against melee.

(the Romans didn't had crossbows, and this unit can come rather soon in the medieval era so...)