Jewish singers taking non-Jewish tunes is nothing new. Here are some songs that were “adapted”:
MBD – Hinei Lo Yanum (1974)
MBD – Shir Hashalom (1975)
MBD – Lichtiger Shabbos (1982)
MBD – Yidden (1986)
MBD – Father Dear (aka Daddy Dear) (1988)
D’veykus – Od Yeshama (1985?)
Piamenta – Asher Bara (1989)
Piamenta – Kol Hamesameach (2000)
I’m sure there are plenty of others, these are just off the top of my head – and not counting albums like Shlock Rock and Variations which are supposed to be “adapted” songs.