I personally like your full screen desktop view you currently do.
I think a lot of people playing in landscape are probably not using a second monitor for backglass, so it's nice to see the full screen IMO.
Maybe start in this view to show the backglass and dmd and then move to full screen?
Once you're in a table your main focus is on the table and not the backglass, so I'd keep it the full focus.
Just my 2¢