Actually, I'd wager that even stronger statement, such as "No country in the world has got the capacity...", is true.
However, Teslas, Nissan Leafs etc. are only a miniscule percentage of total car numbers, so grids will have a few decades to adapt. In infrastructure terms this isn't a lot though - Germans for example adopted abruptly their Energiewende in 2010 and in 2016 there is almost zero progress in critical north-south power network extension to accomodate massive influx of energy from northern wind parks. And from the "Go" it will take additional ten, fifteen years to actually build something useful. Also, I don't believe that actually anyone understands in full what it means to have really massive increase in electric power consumption. Smart grid demos are always nice, but in practice they don't work (yet).
Electric cars however, have to overcome additional ideological issue (at least for the time being) - they don't produce exhalations directly, but electricity they use is supplied largely by burning carbon fuels, such as coal and natural gas. In California for example, such sources comprise over 50% of power mix (according to the source of all wisom, Wikipedia). And California is quite a "green" state.
With sufficient electric car subsidies however, people won't be bothered by such irrelevant technicalities, though.