While the whole 'I hate you because of your music collection' thing may seem childish, I think it really speaks to how one views the world. There are certain base level things people must agree with me about for me to be close friends with them. Its not that I dislike someone for not loving a certain band, but it just shows that there is a fundamental difference in how we relate to the world and what our general philosophies are.
This goes for tv, film, religion and politics as well. Anyone who hates 'Lost in Translation' may be a good person, but they do not relate to the world the way I do. Anyone who dislikes 'Arrested Development' (the tv show) clearly does not exist for the same reasons I do. This doesn't make me snide or elitist, it just means I have certain standards. Its no different from someone who refuses to friends with someone who drinks heavily, or someone who refuses to be friends with someone who never drinks at all.
A small caveat is that people can dislike certain things that I consider core values as long as they do it intelligently. I have heard genuinely compelling arguments from close friends on why 'Lost in Translation' isn't brilliant, and I can understand where they are coming from. Unfortunately, I have heard other just say 'oh, thats boring, nothing happens' and it is clear those people simply do not share a similar worldview, or atleast one that is similar enough for us to have a lasting and deep friendship.
So, you can dislike Coltrane, The Beatles, Tom Waits, Jeff Buckley, Outkast, The National etc. all you want. But you should have good reasons, and you shouldn't be offended if someone can't be your friend because of it.