you can use any audio in Ableton. a big draw is it's time warping tools which makes it easy to manipulate songs like this.
the real difference is Ableton doesn't have the ability to automatically chop the song into logical parts. Maschine can do this, but it doesn't automatically play subsequent parts based on properties on the current one.
Celemony Melodyne does some interesting things with audio as well. Ableton Live 9 has some nifty features where it converts Audio to Midi, which you can then assign to any other sound. Nifty
