With that much power in one place, I don't think any sane faction would try to start something directly, even rednecks. They wouldn't get two shots off before they ate thirty-one different flavors of "blam".
However, with that much power gathered in one place, having one group pull something and try to pin it on another would work just fine. Especially if subfaction A1 makes it look like faction B is trying to frame faction C for killing a member of subfaction A2. Or maybe B makes it look like A1 is trying to frame C for killing A2. Plotception! (For extra fun, in the second scenario, the White Council is B.)
Depending on the PCs' position, they can either act as the investigators who "manage" to pierce the first layer of deception, "uncovering" the false solution that the real perpetrators want them to find, or (more Dresden Files-y) they can realize that the official investigation came to the wrong conclusion because they're constrained by politics which the PCs, as free (well, free-er) agents, can dig past to the truth.