While Sublime Text 2 is superb text editor, it is not Mac native, thus it’s even less probable that a new Mac-style Dock icon menu will appear in near future, that allows opening new window quickly. Thus a helper application is in order.
Based on the original TMNewWindow code, only small modifications were needed. One unexpected behavior was with detecting working state of the application. For whatever reason the original script gave errors when run against Sublime Text 2.
Again, the AppleScript application is linked below and feel free to send me updates and patches if needed.