First off don’t use any actors or anything from the FOX X-MEN movies as much as possible. I've heard rumors that they want to start seasonal veterans as if they want to cast new actors.
So my idea is mostly to do with the introduction of the X-Men into the MCU. Basically after Secret Wars X-Men 's Earth were merged into the Main Universe and the multiverse was restored. I would have Cyclops being one of the main leads in the first X-Men Saga.
Skip whole back-stories, maybe establish mutant’s always exist in present days with hints of their origins in the background somewhere. Where the world may have experienced prejudice and violence on a large scale.
Maybe Cyclops selects the first few students and becomes the Next X-Men at the end of the first Marvel Studio X-Men with his ideals and vision of the future of mutants. Emma could then take those who maybe like him have experienced violence trauma like maybe X-23 can go.
I know my idea is similar to X-Men first class movies but my idea is different I think as in the cast. You start with seasonal members (Cyclops, Emma Frost, Storm, Wolverine, etc) then slowly introduce X-Men in training (Dust, Elixir, Hellion, Mercury, Rockslide, Surge and X-23).
Maybe even in their teens. Show how the progression of working together wanting to become X-Men.