The overlap is designed into government agencies, most of it should probably be removed, but that requires cooperation at the cabinet level. That's not likely to happen without a crisis.
Government isn't perfect, but its a reflection of society at the time, just as most corporations are. The attitudes of the people who make up society just are not something we can walk away from and say "this is a safe haven". Competence, like what I was saying above, is not something people want to do, it is usually forced on them by some crisis, either personal or that spans all of society. I am utterly certain my Father did not have any burning desire to become a foreman in a US Navy shipyard, but he did and he was very good at it. This is the development of competence forced on someone, not by their choice of "I'll work my way up to becoming a leader at a shipyard" but by WWII forcing millions of people to discover they could be competent at difficult things they had never considered doing before.
On the other subject of people who claim everything is the end of the world, I'll bet in less than 24 hours someone will be claiming this discovery will doom all life as we know it.http://www.bbc.co.uk/news/science-environment-17769529