Don't know what electric vehicle you are charging. The Chevy Volt is advertised as using a wall socket for quick charging, yet reading the fine print that is a 12 hour recharge to get a maximum 50 mile range, a Level 2 charger, considerable larger cost yet faster charge, requires 32 to 50amps of 420 volts for a faster charge. Now the Volt is a hybrid with gas and battery power and pure electric vehicles require the more robust charger. At our Credit Union we have a loan program for the charging stations, require 220v 3 phase and in our city single phase is all that is supplied to households, commercial property can get 3 phase.
But lets say, for the sake of discussion, your scenario of a 30 amp dryer plug. If several million electric clothes dryers, car chargers, started in a rolling wave nationwide, would cause massive brown outs across the nation. Now lets consider the total registered motor vehicles in the United States, first quarter of 2019 estimated at 276 million, and make everyone of them electric. Just think about it for a minute.
My typical driving day is 100 miles, example 131miles one way to my assigned work place and 131 miles back after 8 hours yesterday. Today with a grand daughters soccer game and lunch meal registered a 100 miles round trip. I pull an RV trailer and parts or educational materials in gross quantities, I would need a couple of Volts. Part of the issue is a media and environmental movement which believes that everyone lives the way they do. Last article I read was a guy just preaching about how great his Volt was with his daily commute of 30 miles round trip, bought fuel in April last year. Everybody should have one.