Haruhi. Let's go.
Carry her story? Yes.
Three dimensional? Yes, antisocial grouch, genki girl, and melancholic, plus others.
Represent an idea? Yes, if you think freedom-of-spirit. If not, she can be overbearing and socially inept, plus she can't die, so CONGRATULATIONS! Otherwise...
Villain? No
Mainly the love interest? Partially, not mainly.
Part of a team? Isn't that exactly what she makes?
Main role? Bossu.
Babby? Not now. Never comes up.
Horror story? Not likely.
Violent? Energetic, not violent.
Nearly perfect? Partially idealized, but not perfect.
Older? She's in high school, so no.
Should the audience like her? All things considered, yes.
Who likes her more? Guys drool over her.
And there you go. Proving both ways that Haruhi is great all over again.