The due date is an issue on issues. An issue does exist and is important even if there is no due date. An issue without a due date is not shown at all in My assignments (even if the issues is assigned to me) or as an Future work in the Projekt Overwiev. There should at least be the possibility to see these issues in these views.
The top ideas with status Quality Backlog are discussed on a regular basis with the design team. These should be minor development, and could include hygiene factors, little things that create a wow effect and ideas that could have a positive effect on a lot of users.