I think you're underestimating how great Earth is, how awful other planets are, and how big the solar system is.
> I would much rather we advance our technology in the pursuit of Mars than in the pursuit of weapons of war.
Colonization generally does not rhyme with peace. It's very likely there will be conflicts over territories. Space exploration and military production always have been tightly coupled. Where I live the space industry is dominated by "Airbus Defence and Space".
The pithy phrase I've seen before is "let's fix this planet up before we go and screw another one up."
But, more importantly, it is a misconception to think that the people GOING to Mars will have their lives improved. Life on Mars will take a very long time to become as good as life on Earth. But the tech developed to make living on Mars possible will help people on Earth.
Until then, it's the best source of evidence on the Great Filter Theory.
[citation needed]
Pfft these will just end up one and the same.
But what we always forget is that the mass extinction we are living right now (i.e. "we are destroying life on Earth") is not a consequence of global warming. Remove all the CO2 from the atmosphere right now, and we are still in a mass extinction. CO2 will just add global warming to the problem, but that's only a bonus.