We can't see it yet, stuck as we are, in the present moment, filled with strife, failure, and disappointment. But the years and centuries to come will see us colonize the solar system, bringing new opportunities for millions, while easing the drain on Earth's ecosystem.
How can I be so sure? Because in the long arc of history that is what we've always done. We went from Africa to Asia to Europe and all the way to the Americas, founding cities and developing technology every step of the way. We launched into the Pacific, exploring island after island, eventually finding a new world in Australia. We have outposts on Antarctica and in low-Earth orbit. And I'm certain that, this decade, humans (Americans, Chinese, or both) will once again walk on the moon.
The people who launched the Voyagers believed that the future would come--they built a machine that would last for decades, knowing that people would benefit from its discoveries. Without that belief, they would have never tried it.
That's my lesson from the Voyagers: we have to believe the future will be better than the past, so that we can build that future. That what we've always done. We are all voyagers, and always have been.