You need to be precise with how you talk about the shift in energy demand due to EVs. It's not a net energy increase. EVs are far more efficient than gas vehicles. I assume what you mean is increased electricity demand. You can back this out based on typical driving metrics - 250wh/mile is a typical efficiency for electric vehicles. If each driver does 10k miles/year and there are 200M drivers in the US, then this equates to a 13% increase in electrical demand for full adoption[1]. You could probably add on 2% more for efficiency losses in transmission and charging, so call it an additional 15%. That's effectively worst case as it assumes no reduction from the removal of the current infrastructure(ie pumps for gas pipelines, heating for refining, trucking, etc). Those are huge users of energy (though much in forms other than electricity). Oil refinement alone accounts for ~4% of all energy use(not just electricity) in the US.
EVs are so efficient, transitioning to them will probably consume less energy than just the energy we currently spend producing and distributing gasoline. We'll probably need to add to electrical infrastructure, but compared to the savings that is easily justifiable.
[1] https://www.wolframalpha.com/input/?i=250+wh%2Fmile+*+10000+...