Quark

Thats great, would love to hear from you how its going once you start.

Maybe Egosoft

In my opinion the Stellaris mod Star Trek New Civilizations is much much better. It actually uses the current version of Stellaris as a base, you can play literally any species in Star Trek, and the mechanics are just great. The game starts in 2150, before the Federation is founded and you (or the AI) actually have to form it as one of the canon founding members, and you can also play as Klingons, Doninion or Borg, all with some unique mechanics. In comparison Star Trek Infinite is not worth it, considering there is a free mod for Stellaris that does almost everything better.

startrek.website already exists for all things related to star trek