The copyright in flashfx says 2010. Maybe you could contact Looki to see how difficult it would be to update flashfx or ask if it is possible to get this functionality out of the current version? I could be wrong, but it would seem like a fairly small task to add.
As it is, the fullScreen mode will let the player use the mouse and arrow keys... which is fine for some games, but I would rather do without the limitation.
On second thought, it would be nice if these things were implemented into the flash exporter.