Alright, being the fervent worshipper at the altar of Rudess that I am, I can confirm what the first part of that fake Far From Heaven is; it's a piano piece called 'So It Is' from Jordan Rudess's solo album Secrets Of The Muse (said album is, IMO, the most beautiful thing I've ever heard - it's Jordan at his most emotive and evocative, and to think that people say all he can do is shred!).
Incidentally, I love both songs so much and the combination works so surprisingly well that I find myself often listening to the fake Far From Heaven and thinking that if it were a new DT song it'd be a favourite of mine.
Of course, the real FFH is already set to be an album highlight for me; there's no sounds more wonderful to me than James's voice and Jordan's piano playing, which is what FFH is confirmed to consist of entirely. If it's anything like the piano version of Wither (which I consider far superior to the album version and the best soft song DT have done since SDOIT with the possible exception of the oft-overlooked TALW) it's sure to be amazing.