In 10,000 years, Lunar dust will still be lethally toxic, Mars will still be punishingly far away, both will have gravity levels humans didn't evolve for, and it's overwhelmingly likely Mars still won't have a breathable atmosphere, and will have average surface temperatures of far below freezing.
And, I'm supposed to be impressed by a space program that still hasn't conducted a human moon mission, 56 years after Apollo 11? 56 years
before Apollo 11,
biplanes were cutting-edge technology.
There is no Planet B in our Solar System, and, given the immutable facts we know about the physics challenges of reaching other planetary systems, there's an overwhelming likelihood that we will never, ever be able to reach an M-class planet elsewhere even if we locate one (and even if we could, surviving and thriving on such a planet would be a whole other story).
There's a roughly 99.999999% likelihood humanity will perish when Earth becomes uninhabitable. Period.