This used to bother me when I was younger. It doesn’t really anymore.
There is no specific issur of listening to “non-jewish music.” And I’m not sure why you think that particular tune has some issur attached to it. Or inappropriateness.
Perhaps if you can define it for us without using the words “goyish, non-jewish, shkutzim.” (It will be sort of like playing taboo.)
I feel like our efforts are better focused in other places (like, I dunno, banishing the sikrikim to Antarctica.)