open iTerm drop down console on different screen

Solution 1:

iTerm2 Build 1.0.0.20130319:

Iterm->Preferences->Profiles->Window

From there you have a screen bar you can set to 'screen2' or 'main screen'.

Solution 2:

Crikey, I missed this all the time. But it's in preferences -> display -> drag the menu bar to other screen. I never realized (or cared to read the explanation text) that you could drag that menu bar.