EVs are the ideal vehicle for local use and all but the longest commutes for people who are able provide a 240 Volt charger at their home parking space. That accounts for a big percentage of vehicle use in North America. And most families have more than 1 vehicle. So if people adopted EVs for that purpose alone, the need for ICE vehicles would fall dramatically and pretty seamlessly.
As for "can the electricity grid support it?" question, well why not? The grid might need upgrading here and there and a lot of charging may have to be done in off hours - whatever that means. Evening out the day's energy demand would even be good for the power companies. And we will almost certainly need nuclear power which means we'll have to find a way to dispose of nuclear waste.
Having just finished a 4,100 road trip in our Tesla Model 3 in western Canada (of all places) without problems, I can say they're not bad on a long road trip either.
PS And if people have only a 60 Amp electrical service in their home, it's time for an upgrade anyway.