MechJeb could be considered cheating though; I'd make it a bit more idk, lore-friendly and only gradually add it. Those stats could definitely be added though, with stat availability based on what pod you're using. For immersion you could have a mode that hides the UI so that info is only available from inside the cockpit - although of course most rockets are remote controlled or automated nowadays.
The same could be said about the Kerbal Engineer, which shows useful stats (dV, altitude, periapsis, apoapsis, etc).