Thank you for reading and for sharing that concern. Here's my attempt to figure out how big of an issue it is in reality.
In 2021, the US generated 4116 terawatt hours of electric power (https://www.statista.com/statistics/188521/total-us-electricity-net-generation/). That's 4.1 x 10^12 kWh. Dividing that by 365, we get a daily average of 1.13 x 10^10 kWh/day.
The 370 million gallons of gasoline burned daily that you mention, assuming an average of 26 mpg, translates to about 9.6 x 10^9 miles driven.
Using the Ioniq 5 as an example, you get 280 miles out of a full battery charge of about 77 kWh, or about 0.276 kWh/mile.
That means replacing those 370 million gallons of gas would take about 2.7 x 10^9 kWh.
That works out to about 20% of the national generation capacity of the US. That's certainly a big chunk, and I know that building power plants is not a quick process, to say the least. Building enough to increase capacity by 20% will be no mean feat (there are about 12k utility-class power plants in the US).
From the above guesstimate, it looks like you're 100% right. I think that may well be a limiting factor in EV adoption over the coming years (decades?), at least until we have the needed technological/scientific breakthrough plus the buildup of multiple large-scale fusion power plants.