That's what they say, and it's easy to say. However, there are numerous problems to work out before that will happen, and it's not going to be the grid that's the problem. The problems that need to be solved are installing charging stations. A lot of people don't understand the current requirements. They think you can run an extension cord from the 20 amp 120 volt outlet in their garage to charge their car. Well, they can, but that's a very slow charge. If they have access to the standard 30 amp 240 volt outlet that is used by dryers, that's a fair improvement. However, they aren't going to have "fast" charging capabilities and they probable are going to be making choices between the laundry and charging the car. A fast charger can require a 100 amp or greater circuit which will have to be installed, and in most cases, wiring run from the back of the house to the front. There's a good chance an additional breaker box will have to be installed alongside the metered box. This isn't going to be too much of a problem for newer homes, but there are older homes where service hasn't been upgraded and still have 30 -60 amp service. This will involve the utility. An upgraded drop is the responsibility of the utility in California (up to 200 amps, I think), but the cost of a new breaker box is the responsibility of the owner. I can't image what the cost will be in some parts of the country.
Then there's the issue with large apartment complexes where tenants park in a large parking lot. Installing chargers for these tenants could involve digging up the parking lot.
Range is going to be a problem. Most of the inexpensive EVs have a Range of about 225 miles when the battery is new. That's fine for the people who do nothing but commute to an from work, but it means a trip from Sacramento to the Los Angeles area is going to require a stop about halfway to recharge the battery. The range will likely improve by 2035, but people driving long distances are still going to have a long stop to recharge the battery. The only workaround for this is battery exchange stations, but I foresee a problem with proprietary battery connectors or proprietary something else if a standard isn't mandated for all vehicles.
And then there is the issue with the things I do, like taking off into the middle of nowhere for a week. Somehow I don't think there's going to be charging stations anywhere near these places in the near future, or 2035. The only workaround for this is hybrid vehicles.