I think it would be pretty helpful if you could have an option on a filter to mirror filter on the tool bar for quick filtering. Allow like 2 or 3 filters next to "share" icon. Possibly more if can stack which makes tool bar taller.

On views where I have several filters, I may only activly change one or two filters for the current task I am working on. If those couple filters were on the tool bar at all times it would help my work flow and I belive would help others that occaionally work in the view as well. Also, have the ability to lock certain filters in a view to keep others from changing the base of the structured view, while still having the ability to filter certain items.