Just going to throw this out there and probably be mocked roundly for it, but I was thinking about this after Enterprise failed so abysmally, whether it would be possible to create a new Star Trek series which reflected the spirit of the times without covering the same old ground.
The best I came up with was something along these lines: at some point after the Dominion war, the Federation alliance starts to break up over control of the wormhole, expansionism and the usual ideological differences that differentiate the Trek species. Anyhow, long story short, this leads to further wars breaking out between the various factions, depleting what little is left of each planet's various resources.
After years of increasingly desperate and devastating conflict, the political leaders of each planet, realising how unsustainable the war has made life on their home worlds and beyond, negotiate an arrangement: one ship will be sent through the wormhole into the Gamma Quadrant, populated by representatives of all the former belligerents, on a long-term mission to seek out new resources and possibly new planets for each species to begin the rebuilding process.
The idea would essentially be what Voyager was supposed to be: a small ship, not especially well equipped, setting out on a long-term journey, struggling with a divided crew having to overcome ideological differences and often strained living conditions for the greater good.
Basically most of the ideas detailed in the third section of this great interview with Ron Moore on the failures of Voyager. This way, you'd get the acknowledgment of today's world being more ideologically divided than ever, but also the classic Star Trek sense of hope, with different people coming together for the benefit of all.