Nah, that's ignoring that this hypothetical is in a world with mostly renewable power generation. E.g. most of the energy in that mix you're referring to is oil/natural gas/coal -- and over half of that is lost before it reaches the first power pole or the drive wheels. Vastly more efficient electric devices will greatly reduce the amount of energy needed. E.g. a heat pump with COP of 4 needs 1/4th the energy as burning natural gas in a high-efficiency furnace. Yes it shifts that energy demand from natural gas to electricity, but
total energy consumption still drops. Similarly, a gas Corolla getting 40mpg equals about 1.2 miles/kwh, whereas a Tesla Model Y is more like 3.5 miles/kwh, so again, even though there's an increase in electricity consumption, total energy consumption decreases by ~2/3.
My other point stands though -- even if you grant a much larger electricity demand, you can't just look at today's battery production capacity. There are pipeline projects that will 10x that by 2030 (which is what happened in the past 10 years). Even with pessimistic assumptions, you get to pretty reasonable time frames pretty quickly.