<< However, if the human species survives the next billion years, don't you think we'd have moved off planet already thus negating the advantage of moving this chunk of rock? >>
I suspect some humans will always want to live on the earth, just as people still live in the old world. People still live in the Mesopotamia area after all (site of many ancient civilizations). No matter what happens, Earth is the birthplace of humanity, and humanity will probably want to save it. And by then, humanity will have billions of years of history, knowledge, architecture, art and culture on Earth. I doubt humanity will stand idly by and watch their birthplace, home and billions of years of human history be burned down.