>overshoot, which leads to collapse
Imagine, in 50 or so years, a fairly substantial human colony is established on another planet, and it figures out how to become self-sustaining.
This self-sustenance act is what we need to refine - not the going to Mars bit, of course - but what I am trying to say is that the pressure is on to find self-sustaining ways to feed humans (hint: grow local or gtfo) at the very high end of the privileged technologically elite spectrum of the human misery scale, i.e. SpaceX versus the slums.
If we can get to Mars and sustain, we can change the way humans on Earth live, in extraordinary ways. I'd even be willing to wager a bet that in 100 years, ones sovereign citizenship is going to be irrelevant - what will count, is whether you can make water towers into rocketships.
(I don't see SpaceX as a rich mans game - I truly believe its a human response to the human disaster you talk about. If we can move manufacturing and food production into space, we may very well have a chance to turn things off in 100 years, and let Mother Earth just grow again ..)