The theoi — gods of the Hellenes, or “ancient Greeks” — are a study in opposites. Poseidon rules earth as well as sea. Zeus is progenitor of many offspring by many mothers, but is also god of marriage. Hermes is swift as thought,yet his oldest representation is as a standing stone. Demeter brings forth crops, and takes them away. Dionysos can bring sanity as well as madness. Haides and Persephone hold the promise of life in their dark kingdom. The Hellenes prayed to Ares not only for victory in war, but also to keep war far from their gates.
There is no wrath without calm, destruction without creation, death without life. I believe that this understanding of the nature of the gods resolves the above question quite nicely: the way to day with wrathful, savage, and destructive divinities is to appeal to other aspects of those very gods. The myths also speak about involving other gods, but that usually doesn’t end well.