You export as sequences, these become a scene in Ableton.
You have options when exporting from the MPC to keep vol/pan/mix information in place, or you can just send out the audio tracks as is.
There are many ways to work… but, I find that if I know I’m going to export to Ableton I won’t get too deep into mixing/editing on the MPC, and I’ll explode the drum tracks before exporting.
I feel like I should make a YouTube video at some point for this, because there seems to be nothing out there demonstrating how easy and powerful this workflow is.