I apologize if this has been mentioned before. In the context tab you currently see the contexts along the top as tabs, and due dates are on the screen as lines containing tasks. My suggestion is to reverse that. For example:
Due Today|Due Tomorrow|etc.......
It would also be nice to have the option to open this screen as collapsed, or expanded.
Assuming that I understand what you're after, you could use the "Due date" tab instead of the context tab. There, the "due today", "due tomorrow", etc. will be in the tabs across the top. Then you can sort by context first, and the contexts will appear on the dividing lines.
If you click the "close dividers" option, the system will remember it and start your screen that way next time!