I mixed Figure.09 with the Demo to add Mike's parts! http://www.mediafire.com/listen/4nirc282yjovlru/Figure.09_Demo_with_Mike's_Lyrics.mp3
The transition of the intro to Mike's verse, as well as the transition of Mike's verses to the chorus is very apparent and feels unnatural. Otherwise it isn't that bad. Definitely a good idea, I love that demo chorus.
Semi on-topic: I'm like 99% sure the only reason this song is called "Figure.09" is because they already have a "Part of Me."