How about naming it Fafnir?
SpaceX has been keeping the dreams--private enterprise's innovativeness and the exploration of space--alive. In a way, it's good, because private corporations can act more quickly than governments. But, it's a two-edged sword, because who could control an unanswerable CEO, if she/he gets lured to the "dark side"?
Also, corporations often become tight-lipped in the presence of rivals.
Mars still remains a dream of NASA, although they claim it is still a long way off.
Personally, I don't understand what the difference is between a mission to the Moon and a mission to Mars, other than distance and duration. As I've suggested before, they could even put another space station or two between the Earth and Mars and then just leapfrog there, a step at a time, to conserve and accumulate supplies for the colony.