That’s backwards from my experience in the southwest ... new large buildings there sometimes have large (million-gallon) cold-water tanks which are cooled by the chillers at night, when electricity is plentiful and cheap, then the building is cooled during the day using the water tank as a heat-sink.
Electric rates (and meters) there are set up to encourage people to leave the air-conditioner on during the day, to avoid the peak that would result from everyone coming home at 5:00 PM and cranking up the AC, along with the stove, and washing machine and dryer.
Come to the east in the summer, the nighttime is oppressive.
Anyway you slice it, in the eastern united states during the summer, big changes would have to be put in place in the power grid to incorporate recharging a large fleet of electric vehicles.
Running your air conditioner during the day will not alleviate the need of having an air conditioner on at night in your home. Power consumption is at it highest in the summer at night in the east. Always has been.