I'm aware that the argument from evil is that certain kinds of suffering seem inconsistent with the monotheistic conception of God. I'm presenting a version of this argument that isn't vulnerable to the objection that the atheistic argument, too, is inconsistent, since it assumes social standards of morality that are usually grounded in religious myths.
So the concept of God can be analyzed, but so too can be the secular concept of morality. What the secular moralist should say, given the existence of various kinds of suffering, is that there's an ideal kind of suffering, namely that of the social outsider, which typically subverts naive faith in religion via an existential, philosophical perspective.