I don't think you can do exactly what you want here, but I can suggest something for your last question.
In layout setup... you can select which views are applicable for a given layout. If you select only one view here, that effectively disables the view selection controls in the status area.
I am aware of the possibility to disable some views for a given layout. What I was hoping for is a way to hide the selection completely, such that the user can't even see that there are other (disabled) views.
Well, thank you for your response anyway!