If there is going to be a Moon base (with an MW gate) then they could still make a direct connection to the SGC or Homeworld Security with ring transport. So SGC would be closed down / destroyed / suspended, while the Army would move their operative in a shielded carter of the Moon. That could be the new base for a new SG movie.
Just why would they build a Moon base if any of the X304 ships could fill a similar role? That is the reason I have said, maybe the MW gate could be moved to the Hammond, which would land on Mars / Moon from a safe distance from Earth.