Hi Chris,
seems to be an issue of MIDI, not P'08...
Tell us a bit more:
Did You configure Ableton and the P'08 in any way or simply plugged MIDI cables in?
Is Your "general MIDI knowledge" good enough to configure MIDI-channels (on P'08 and Ableton)?
I use Ableton, not with Push, but sometimes with an AKAI APCkey25. If You connect this little machine to Ableton, it will send button presses on channel 1 and keystrokes on channel 2. If You select APCkey25 as MIDI-controller in Ableton, Ableton uses a separate, "hidden" MIDI-connection for this and then innternally redirects it to whatever is configured as Abletons "official" MIDI.
If Push behaves in a similar way, expect some strange things, if You connect Push directly to a P'08 (or other MIDI sound generator)...
Martin