Hi again. Indeed, the argument from incoherence opposes a religious conception of God, especially the exoteric, literalistic, anthropomorphic one. That one collapses into nonsense. What's left are the esoteric or mystical conceptions which I think are more likely to be consistent with atheism. So the target here is indeed theistic religion.

Should the atheist go after mystical and esoteric conceptions and practices? Maybe, but there's less of a pressing social reason to do so. The intellectual elites of each religion are more likely to be mystics or esoteric philosophers, so they're cynically in charge of the religion that's dumbed down for the masses. Other arguments would have to be brought to bear against the intellectual elites.

Jerry Coyne mocked elite theology for being all-too "sophisticated." It's so sophisticated that it obscures the fact that it's either gibberish or it's atheistic (since God is no longer viewed as being a person).