If we're getting to see a Constitution-class starship, it will be the (exact!) same Constitution we know from the original series. But it will be a completely new CGI-model of it, with much more texture, details and lightening (think Picard's Enterprise-D and the Connie at the end of "These are the voyages", the Enterprise-finale).
And we ARE going to see a Connie. But they won't show us one simply in the background. It's going to be a big reveal. Maybe under construction. But much like "Rogue One" showed us Leia and the Tantive IV in it's final shot, DIS will have a big "moment", where people talk about the new "5-year mission", and everyone will look ablazed at that super advanced ship ready for launch, with it's big letters "NCC 1701 USS Enterprise" on it. Probably having James Frain as Sarek comment on it, saying he is proud his son is on board. Maybe they even Forest-Gump young Shatner and Nimoy on screen for a second.
Also, this will be the moment general audiences finally realize this was a prequel the whole time. And every Trek nerd that knew it all these years and analyzed every background detail will demonstratively roll their eyes.
And we ARE going to see a Connie. But they won't show us one simply in the background. It's going to be a big reveal. Maybe under construction. But much like "Rogue One" showed us Leia and the Tantive IV in it's final shot, DIS will have a big "moment", where people talk about the new "5-year mission", and everyone will look ablazed at that super advanced ship ready for launch, with it's big letters "NCC 1701 USS Enterprise" on it. Probably having James Frain as Sarek comment on it, saying he is proud his son is on board. Maybe they even Forest-Gump young Shatner and Nimoy on screen for a second.
Also, this will be the moment general audiences finally realize this was a prequel the whole time. And every Trek nerd that knew it all these years and analyzed every background detail will demonstratively roll their eyes.