For Alcibiades, was it not because he was accused of vandalizing the herms in Athens, considered a major religious sacrilege? There's no evidence to say he did or didn't. In his defense, though, he did have a lot of political enemies that wanted him removed from power, and so they may have conspired to vandalize the herms and place Alcibiades as the criminal. Such is an example of how religion could have been used for political/selfish gain. The same can be said for Socrates, as one of his charges was not believing in the city gods. Even if he did or didn't, I'm quite sure the men he ridiculed in public weren't truly concerned with this, and only used it as more fuel for their fire.

And Sparta was late in arriving at Marathon in light of a full moon; they were unable to march at this time because a full moon was a sign of a bad military omen.