I wouldn't be so sure. Back of the napkin estimate: for every 2M electric cars, you need 1 more nuclear power plant.
- approx. 18 kWh per 100 km for a Tesla
- let's say 15000 km per year (close to the average in France for example)
- total consumption over a year for 1M cars is roughly 2.5 TWh
- total production of a nuclear power plant varies, but is roughly 5-7 TWh per year on average
That's a lot of extra power if you want to replace all the cars. For example in France, that'd be the equivalent of 20 extra nuclear power plants, or the equivalent in nuclear + solar + wind + coal/gas/...