Its not real as much a religion thing as it is an energy thing.
But turning/rebuking comes straight through religion so it's only logical that devils & angels wold play the major part in it.
The feat Planar Binding has a flaw. It reads "If you can rebuke undead, you can rebuke all evil outsiders and can rebuke all non-evil outsiders".

One's definitively wrong.
Anyway, I'm not planning for this feat, I'd like to substitute Undead for Celestials, Devils & Demons.
What about this:
Good clerics rebuke celestials and turn devils (and demons?) instead of turning undead. Evil clerics turn celestials and rebuke devils (and demons?) instead of turning undead.
Clerics with a patron deity with a Death or Undead domain, turn/rebuke undead instead of outsiders (just like in the PHB).
I could expand this category even more, with Turning/Rebuking Animals, Plants, Lycanthrophes (Moon domain) but this is already done through the domains' powers. So some priests will both turn/rebuke an outsider and something else (plants, slimes...).
This has the odity that it doesn't take care of lawful & chaotic alignments, only good & evil. The system in the BovD is somewhat more complicated and it would turn out something like this:
Instead of turning/rebuking undead, a cleric turns any outsider with at least one alignment component equal to its own and rebukes any outisder that doesn't have any alignment component equal to the cleric.
Clecrics with a Death or Undead domain still turn/rebuke undead inbstead of outsiders.
What do you think?