You'd probably need to create a religion for them about some gods/ancients that they are serving in their mission. That seems to be how humans stay focused on long-term social organization across generations.
Mormonism seems well-suited for the religion role you mention since they have the concept of a particular planet being close to the residence of their god: https://en.m.wikipedia.org/wiki/Kolob
They were intending to use the ship to get to the Tau Ceti system: https://exoplanets.nasa.gov/exoplanet-catalog/7179/tau-ceti-...
Mormonism seems well-suited for the religion role you mention since they have the concept of a particular planet being close to the residence of their god: https://en.m.wikipedia.org/wiki/Kolob