His elder half-brother Lousson, Django's son by his first wife, Bella, was also a guitarist, but the two grew up in different families and rarely met.

According to writer Fred Sharp, his father initially encouraged him to take up the piano, believing "there would be more work for a pianist than a guitarist".

From 1968 onward, Babik released albums under his own name, beginning with a collection of tunes by Sidney Bechet, which he played on a Gibson ES-175 electric guitar with a small group.

"Three Of A Kind" (1975) was a collaboration with gypsy guitarists Christian Escoudé and Boulou Ferré in a contemporary jazz style, and included a 5-minute medley of Django Reinhardt compositions.

In the 1990s, Babik arranged and contributed music for two French films: "Le Prix Du Silence" (1990), directed by Jacques Ertaud; and "Mohammad Bertrand Duval", by Alex Métayer (1991).