War is not what I watch Star Trek for.
I am not advocating a War-driven STAR TREK, either, but I am prepared for it. One thing, though - the STARFLEET look just isn't very combatty ... you know? It looks like some fashion statement, or other. The MACOs on ENTERPRISE definitely had the right look for that.
The other problem has been the staging. Hand-held cameras and gritty realism of war need to be in play, even though, in reality, futuristic war wouldn't ever require boots on the ground, it's just not fun to watch it, that way. Finally, in support of the idea, though, there are many different faces of war: The traumatised civilians, the medical emergencies, the friendly fire, the collaborators, the unlikely romances ... on and on. If the coverage were such, it could be a really entertaining concept.
There is much material to mine from a series based on a war, but Rick Berman-styled STAR TREK was never up to the challenge, really. I suspect a new film crew would feel otherwise. So ... if
STAR TREK: War! came to television, I'd feel compelled to give it a shot, sure ... but the wonderful thing about war is that it can end. After the Path to Healing has been followed, exploration could resume, or any other kind of STAR TREK story.