I think it would fit in fine as a series that has a mix of single- and multi-episode stories as well as a mix of action, drama, with occasional moments of humor, horror, and tragedy. It can be frequently serious, but also frequently fun. On thing I don't
think it should be is something that's dark, dreary, and filled with self-serving, sex-crazed, or petty a-hole characters--that kind of stuff can be done in moderation, but I think the core of Trek is a future that we'd like to be in rather than not with different aspects that appeal to both adults and even kids.
I also think it should treat continuity rather vaguely and avoid too many specific references to past events. More attention should be on what's currently
happening in the series rather than what happened in previous ones.