Let's say I decide I've had enough with this whole Federation business and that humanity would be better represented by a Starfleet that follows my particular ideology. Assuming I could get enough people for crew and support, why can't I start my own Starfleet?
I could replicate ship parts until I have a couple vessels. Go to new worlds and present myself as the official first contact of humanity. I could fly to Vulcan or Bajor and tell them no actually my organization represents humanity.
What's going to stop me?
Most structural starship components would require large industrial replicators.
These seem to always be centrally located and powered.
What someone can do with a small home model would be quite different.