Government remains strong because people think political authority and legal compulsion necessary.
Capitalism will continue as long as such an economic system is considered adequate and just. The weakening of the ideas which support the evil and oppressive present-day conditions means the ultimate breakdown of government and capitalism. Progress consists in abolishing what man has outlived and substituting in its place a more suitable environment. I imagine that you have, but that's an old arguement. Any one who tells you that anarchists don't believe in organisation is talking nonsense.