Musk may be able to eventually manage the latter, but I don't think success at the former is a reliable indicator of that.
They also seem to be fairly concentrated on development of new vehicles and don't distract themselves with anything else.
And even then, most likely with a layer of indirection that puts Starship in the role of space truck which enables the infrastructure be built, but which isn't the main mode of transport itself: To really make a Mars colony viable, I think both Earth and Mars (for different reasons) would probably want a non-rocket launch system such as an orbital ring, which Starship could help build.
[0] assuming the von Neumann replicators don't eat us all first. He is literally building a bunch of general purpose humanoid robots and suggesting they may take on factory roles… and Tesla/Optimus isn't the only such robot under development.
Uh, because SpaceX is a serious success?
The last year, they launched 10 times as much payload into space than China.