There’s over 280 million cars in the US, assuming on average that’s ~75kWh each we’re looking at ~21 tWh worth of battery storage. Meanwhile the average daily electricity use in the US is currently only 11 tWh. Of course that increases in a 100% EV world but EV’s are generally quite flexible demand.
PS: Solar power plants are often built to store ~50% of their daily output in batteries. It’s currently economically viable because that’s released at peak demand and thus peak prices, but with how quickly battery prices have been falling they will soon be viable even for normal nighttime prices.