Here was my remix ..
Changed most of the tracks for my own. Kept a similar bass line, but changed it for a regular bass guitar rather than a synth bass. Did some slap effects on the bass in the chorus and added a few parts.
Changed the sitar on the original with my own "garbled sitar-koto multi-instrument".
Lots of ear candy. Added about 8 tracks of various keys (Rhodes, pads, synths, synth basses, etc.)
https://soundcloud.com/bemelodic/alicia-keys-time-machine