If I was allowed to make my own Trek show I would completely disregard all the shit post-Enterprise, then set a show about 20 years after the Dominion War.
I'd show that the Federation has changed a little. Not too much, but the change is there. Still optimistic, still altruistic, but they've been hit hard by reality. They looked at the end toll of the Dominion War, almost a billion dead, and realized that perhaps we'd gotten soft. War is never a good thing, but sometimes it's a necessary one. Humanity has forgotten that and were completely unprepared for the war.
As such, a new division of Starfleet is established, Starfleet Tactical. The outright military arm of the UFP. Established with the idea of being a necessary evil to protect the Alpha Quadrant, the soldiers of Starfleet Tactical have a single purpose: To protect the UFP from all threats both foreign and domestic and if need be to take the fight to the enemy.
The uniform would be much like a standard Starfleet uniform, but with a few more military accoutrements, and their uniforms would be the classic olive drab of Earth's old militaries, perhaps with a bit of the old Wrath of Khan era uniform flair.
Because realistically you WOULD want a nice beefy military. The Klingons have one, the Romulans have one, and the Dominion had one. Why the fuck don't WE have one?
As much as people say Starfleet can act as a military, we all know that people like the TNG era Enterprise crew were probably ill suited for the rigors of a long term down and dirty war. Even the DS9 crew were probably nowhere near as deadly as they could be (Except maybe Garak and Kira. And maybe O'Brien, being a combat vet and all.)And that's where Starfleet Tactical comes in.
"We come in peace" should logically be followed by "but are ready to kick the everloving fucking shit out of you if we have to."