Well sort of. Some of the most interesting Trek episodes were the ones with a great deal of conflict and where the threat of violence between armed parties was present. Some folks want to see the Romulan War os something similar. And we've got the problem of not disturbing continuity.

So, put a new Trek in a period of serious conflict. Make it far enough into the future that continuity shouldn't be a problem. And spice it up by calling into question the very principles the original shows stood for. What if those principles were warped (no pun intended) into something that they originally were not? What if those principles were used for the empowerment of certain individuals or groups over others (which we know to be at odds with the original intent, but the contemporary characters may not be aware of the original intent of the Federations principles)? What if the guys we start off thinking are disruptive badguys are actually in the right? What if the people we first see as heroes/protagonists are actually bad?

I would only make it a galactic struggle because I don't see how you can get far enough into the future to make continuity not be a problem without having some serious advancement in travel technology. Surely, they will be progressing quickly enough to make a galaxy-wide civilization, or at the very least, interaction possible/probable.