Bollywood tracks are great. I like that a culture like India can produce a mongrel programmatic music as inauthentic as any Martin Denny exotica. I mean that as a compliment. I think if you grew up with Indian music your ear was attuned to microtones.
Arabic and Persian music which is generally more modal in the western sense but coloured by microtonal filigree (many of the lutes such as the figure eight shaped Persian Tar have movable frets) and likely much easier to assimilate for someone with your background. The ancient music samples just like that of India or China's classical tradition are mostly monophonic, not a lot of double or triple stops which again would lend it a familiar feel. The rhythmic structures too would seem familiar. The composer Messiaen showed the correlation between complex Greek and Indian cycles in his use of them in his work.
Muezzin calls are similarly microtonal and ancient, no doubt based on themes that very much predate Islam.