WIY: That’s superficial and silly advice, especially as MBD, Avraham Fried, and Shwekey also borrow from Goyish music all the time.
If this is actually something you feel is important, pick a small group of Jewish songs that you love and a small group of really, really clean non-Jewish songs for when the urge arises and stick with only those for a few weeks. After a while, you’ll find it easier to ignore the non-Jewish songs and easier to turn to the Jewish.