When will we become galactic?

Question: How long until Homo Sapiens develop the technology to launch us out of our solar system and into the Milky Way?

Providing we don't become victims of some worldwide apocalypse or we just wipe ourselves out with our own brazen stupidity.

Or go to bed on Earth and awake on Planet Dystopia to a government more concerned with advancing itself than technology. Authoritarians have no use for technology that has no application to government growth, power and control over the masses.

Or maybe we should just opt for the safest bet... (Yeah you guessed it)...