Eliezer's probably saying that the patrons of said Alabama bar would be, shall we say, highly unlikely to appreciate the neutral point of view, probably due to ingroup biases. It's the arguments-as-soldiers thing again, and you're implicitly putting yourself on the wrong side.

I've never been to Alabama myself, so I don't know whether this is actually true or not. I suspect it wouldn't be as bad as he's implying (it might start an argument, but I wouldn't expect a fight), but that might be my optimism acting up.