The view I find most useful in OF (desktop) is a Focus on work or home and then the context view without any context selected. This creates a list of due today, due tomorrow, etc etc up through a month, and then items without a due date.
Even if perspectives won't be supported on the iPhone, that view is probably what many people would want since it focuses you on nearest deadlines. There's room on the home screen for another view in the iPhone, that would be my vote. Even better if you can limit it by some kind of focus (like work vs home)