The grid as is can handle it due to the majority of charging being done overnight when electricity is cheap and demand is low. If most vehicles had two way charging it could actually make the grid better due to cars being able to offset increased usage during peak hours.

The grid issues do exist but are over sensationalized by the media. You'll get a rolling blackout maybe once a year, if that, but there's usually only a week or two where we're explicitly told to conserve power due to a heat wave. In which case you get a text on your phone that says, "set your AC to 76 or 78", and enough people do so that the power almost always stays on. The one time I've gotten that text and then the power went out it was only out for 5 minutes. I think enough people got the hint though because it didn't go out again.

When I lived in the central valley our power went out more due to cars hitting telephone poles than grid issues. Never lost power since moving to the bay area even through this last brutal AF summer.