It occurred to me that in all the years of producing and performing I've never come across this question - how do people mix their stems for live performance when those stems are part of a mastered piece?

Let's say I wanted to deconstruct tracks from an album so that I could mess with them in a live performance - but the track is designed to be listened to as a mastered mixdown...if I export the stems without the master channel, they won't sound the way the audience is expected to hear them because the audience is used to hearing the songs with the mastering process applied. If I export the stems with the master channel on, they won't sound right either because the mastering process takes into account the mix of all the sounds applied. Also, do I export sidechains from kicks or...????

Any experience with this?