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Well, regarding realism, that's a big question... However, Phoenix has already pointed it out correctly.
In general, yes, without music, the game as a whole seems more realistic, but we've had enough of our reality. Games are games. Music is extremely important; in my opinion, it ranks second in importance after graphics. (gameplay doesn't count). It's exactly the same as in movies. Imagine some famous horror movie; it wouldn't be even a third as scary without the soundtrack... We may not pay attention to the music or understand how important it is, but its significance is enormous. Of course, the soundtrack itself shouldn't be boring or repetitive.