Well, judging by the story, it seems to me that the humans from our solar system, Sol, were the ones who were part of the Freedom Alliance who fought the Shakturi thousands of years before the start of the game. The humans in the current game are their descendants only now emerging from the long night after the fall of the previous civilizations. It is also mentioned that the humans have a mysterious past, and may have even originated from outside the galaxy, so even those prior humans who fought the Shakturi were some far flung group of colonists from elsewhere. Because of this, you don't actually start in the Sol system. At least that's the background for story purposes.
I don't think there is an option for a no moon start either, so if you really want to start on Sol for your own background reasons, you'll have to do as you suggest and use the editor to make it at the start.
A real leader faces the music, even when he doesn't like the tune.