Can I make Desktop 1 exclusively for an app; or default other apps to desktop 2?

[alexjholland]

Hey

I like to keep my windows on Lion like this

1: Ableton Live (Desktop 1)
2: iTunes
3: Safari
4: Mail
5: Everything else (Desktop 2)

Unfortunately, Ableton Live does not have 'true' fullscreen - it just fills the screen within itself - so is still regarded as Desktop 1 and most new apps default to Desktop 1 and appear above it, which is annoying.

I've set most programs not listed above to default to Desktop 2, but any new apps still appear on Desktop 1.

Is there a way to make Desktop 1 exclusively Ableton Live; or to make Desktop 2 the default place for new programs to appear?

Thanks