I do not think I will be alive to see such a system but my kids may be using. In developing countries, 70% population have not even heard about Bitcoins.
That's true there are still some countries that some people doesnt know the use of cryptocurrencies. This time bitcoin striving hard its existince because of droping of the price. But, in the future I dont think we will see a cashless society. Although many users adopts this technology but we cannot ensure a cashless society will adopts by the whole citizen.