Music definitely has become a central aspect of western culture.

On that topic, I was watching a BBC documentary entitled Turning Muslim in UK (as it turns out, Yvonne Ridley is in it as well). The third person interviewed is John Standing, now Jamal-ud-Deen. He studied music for three years and intended a career as a rock star. After converting to Islam he choose to leave all of that, knowing that it was a controversial issue. Sacrificing three years of one's life is definitely not easy, May God reward Him.
Then there are others like Yusuf Islam (formerly Cat Stevens) and Dawud Wharnsby Ali who maintain some of their musical interests after their conversion.

There are many Muslims living in the west who grow up just as addicted to music as the non-muslims, if not more. I've found that when giving Da'wah to such Muslims, if you tell them to focus on their relationship with God and learning their religion they will naturally leave music. Once someone becomes more focused on their religion, they abandon these things by themselves.