https://www.vox.com/energy-and-environment/2018/8/31/1779909...
EDIT:
And on your second point, having a large number of electric vehicles may actually help smooth out load -- it's easier to temporarily throttle charging during peak load than it is to get everyone to turn off their air conditioning. Public charging stations, like Chargepoint, already do this.
You can even imagine a future where you could tell your car to discharge its battery to power your home during peak demand and then charge back up overnight when power is cheap and plentiful.