There are currently options for what you described: in "Controls", in "Headlook Mode", the options are labelled as "Looking at Target Panel", "Looking at Comms Panel", "Looking at Role Panel", and "Looking at Systems Panel". These can be toggled to your preference in the way they are displayed when in "Headlook Mode" such as: "Does Nothing", "Shows Panel", and "Focuses Panel", when glancing them over.
I, along with many others who play on the console counterpart, would like for the entirety of the HUD to be toggled on and off similar to the way the PC is able to currently.
Thanks for the reply.