| Bear in mind what I say below is all constructive criticism. I am only trying to offer some advice on how to make things work better. Let me reiterate that even though I reserve veto power as a DM over any ideas I consider disruptive, I intend to exercise that power with restraint. Please don't interpret anything as a veto or a veto threat.
I do like the idea of the acolyte being a sort of inspired worshiper of the lawgiver, what with Charisma being the primary casting stat and all. The class is very original, and the flavor is excellent. However, it seems exceptionally weak. It has a bard's casting progression, but casts divine spells, which are generally weaker. And while a bard's true saving grace is the powerful bardic music ability, the acolyte has nothing similarly noteworthy to back it up.
I don't think this is worth abandoning though. I think it shows a lot of promise. Here are some ideas. Let's follow in the mold of the bard. Go through the bard class and try to find something "lawful" to replace the bardic music abilities that are more reminiscent of the class. Find a law-aligned spell or two and tweak them a bit to make them more unique. Take something that is normally targeted and turn it into an area effect or an aura that benefits the whole party. Take something that adds a bonus one place and add a secondary bonus elsewhere. Make a typed bonus untyped or change the type. You don't have to make drastic changes to change the flavor of something significantly. A bard's inspire courage, for example, is essentially a dressed up bless spell with a few additional side effects.
The axiomatic strike is good, possibly too good. It might be better to grant the class a smite ability similar to the paladin's smite evil. Be very careful with "always on" abilities.
The skill list seems a bit odd. From what we've said about the Lawgiver so far I wouldn't think of his followers as acrobats. However I think giving him a skill set strong in Charisma and Wisdom-based skills would suit him fine. However perhaps if you elaborate more on the background of the class, I might understand where you are going.
One final word. An acolyte is typically someone who is relatively unskilled in his profession. Perhaps another term such as Speaker, Inspired, or Lawbringer would be more appropriate. | 
And yet another word from our sponsors
