I think the opposite is true.
Right now, humanity is unable to solve genocide, nuclear proliferation, starvation, incredible inequality; or even airplane food.
If we go out as this privatized mess, there's not a good chance of a positive outcome. Space is too vast - far, far, far, far, far too vast*. And far more dangerous than most people think, as this article scratches the surface of.
If we come together as a species and fix our major problems before we kill the planet, then we have thousands of years to get space right; and when we do, we won't be bringing our massive problems with us.
* - "Space is big. You just won't believe how vastly, hugely, mind-bogglingly big it is."