I'd go for Lawful Neutral, myself. "Lawful Evil" is more "I can certainly take your eye if, by the rules of the game, I can do it," whereas I think "Lawful Good" would be concerned more with justice or turning the other cheek. But the moral accounting inherent in "eye for an eye" -- "You have done me a wrong and thus I can do you a wrong to balance the moral books" -- strikes me as definitely Neutral. And the "eye for an eye" doctrine itself is Lawful, to me.
"Eye for an eye" also implies, to me, "If you leave me alone, I'll leave you alone as well."
So.