SuicideJunkie wrote:So basically, even if you had two black holes magically pinned in place, and tried to zing a photon exactly down the line directly between them, it might go past the center of mass, but it couldn't make it out the other side to infinity.
I don't think that's correct. If the black holes are magically pinned in place, then the whole equation changes. (Though exactly how it changes might depend on how the magic works.)
If a photon travels through the event horizon of any black hole, it will end up in the singularity at a finite point in its (proper) future. If it travels through the event horizon of two black holes, it will end up in both singularities. That can only happen if the singularities merge.