The immediate problem is keeping track of my own tasks within and across the tools everyone else is using.
Ideally, I'd like something that aggregates the tasks from all the different platforms into a range of views. A complete top-down overview, a "next task by project", mapping out dependencies, that kind of thing. And to be able to easily jump to the other tool if I need to do more involved stuff, and to automate/script things like well-known tasks, project structures, etc...
But the really important part of this for me is maintaining links between the local interface and the remote service, as the costs of manual sync become rapidly untenable. All of the other features I've described are in extant products, but this last bit doesn't seem to be.