I'm not ignoring it though. During the listening of a piece, my ideals and beliefs are not in the forefront of my mind to begin with. When I'm listening to something and it says "death the Christians," I'm not thinking "hey, while I am not a fan of the religious beliefs of Christianity as a whole, I generally do not have a problem with the average Christian, nor do I believe that anyone should be put to death." If I have any conscious moral reaction, it is more one of bemusement than disgust. Differing views in general do not bother me a great deal in general, I don't get 'displeasure' by the fact that somebody else hates Jews. I'm honestly not entirely sure why you're associating conflicting opinions with displeasure or some sort of cognitive dissonance, because that is not the way that I perceive it at all. I take it for what it is in itself and not in relation to me. I am more of the persuasion of objectivity in art rather than personal connection. I view art as an outside observer and not an active participant.
^incohesive rambling that doesn't properly convey what I'm trying to say but too lazy and pressed for time at the moment