Eduardo- Most folks do not fully deplete the battery each day. A typical EV can go about 175 km on a 32 kWh charge. The average daily driving distances in the USA is less than 50 km, which would require roughly 8 kWh. Many folks in my area are skipping the install of a level 2 charger and just using a 120V level 1 charger rated 1.4 kW.
Echoing David's comment, you may be mixing average power requirements with peak power requirements. Several years ago I was quite worried about everyone plugging their EVs in at 6 pm when they arrived home from work. Thankfully, even if David and his neighbors all had EVs with chargers capable of 8 kW, this would not mean 72 kW additional load on the transformer. EVs now come with an app where the driver programs in what time they want the car to charge. Mostly likely, the cars are going to charge overnight. At a rate of 8 kW, each average EV is only going to charge for around 1 hour. I have been thoroughly relieved to see that most customers, most of the time, charge during off-peak hours. My region does not have time of use rates or any other direct economic incentive, so I assume charging patterns are even better in regions that provide economic incentives for specific charging behavior.
In the short term for EV penetrations of at least 20%, very little new T&D infrastructure will be needed since the EVs use off-peak power. In my region, the load forecast for electric utilities in actually negative for the next two decade since continued energy efficiency improvements will than offsets the new EV loads. By the time EVs loads start having a significant impact on T&D infrastructure, we may have switched to daytime charging to soak up excess solar PV production.
Every time I work on a road related project I am reminded how tiny the electric grid is compared to the road network. Updating the power grid to handle EVs is somewhat trivial compared to building and maintaining the roads for those EVs.