For all the talk of moving to electric transport there hasn't been any planning on how the grid will support that and where the generation will come from. Technically possible, yes, but the free market won't deliver it as the current market they play in is largely for show/theatrical (monopoly distributors, cartel generators).
None of the electric public utility systems in the US are 'free market'. They are all controlled by Public Utility Commissions. The PUCs tell the utility what to do, when to do it and how much extra they can charge for the results.
Most people work during on-peak hours, that's why the demand is called 'on-peak'; buildings are up and running. Charging at home, after work, will be during a period of reduced demand. But, not to worry, if things get out of hand, the utilities will move to Time Of Day billing. They already have tariffs (regulations) in place and the rates are available as an option (at least here in Northern California with PG&E). They will just convert everybody. For the most part, the revenue meters have already been converted to Smart Meters which are read over the power line so getting instantaneous or interval demand is trivial. You may note that there hasn't been a meter reader (person) in the neighborhood for a decade or more.
I'm not the least bit concerned about grid capacity to charge EVs and you have never seen a utility representative worried about it either. All you see is EV naysayers stating their opinion about the inadequacies. EVs already have a programmable start time (or end time) as part of the firmware. That's cool! Tell the car you want it fully charged by the time you finish your cup of coffee in the morning (end time) and it will start the charging as required. It remains for the car owner to have a large enough charger to get it done.
At a very high level, there must be a plan to make it work because the auto manufacturers are investing billions of dollars in new plants to build EVs. Internal combustion vehicles simply won't be available in the near future. Like them or not, you will eventually be driving an EV.
Gasoline here is $5/gallon and if a car gets 20 MPG, that's about $0.25/mile. If we take 3.7 miles per kWh and $0.25/kWh this works out to $0.07/mile. And no semiannual smog check! And we can drive in the HOV lanes without a passenger required!
What's really cool is when you have a solar array under a power purchase agreement at, say, $0.15/kWh. That brings the cost of driving a Bolt down to about $0.04/mile. Try that with a gas driven SUV. And the EV will accelerate faster from a stop light - something I do from time to time.