BEVs are like the best consumers imaginable for our grids. Their owners get hourly contracts and perfectly time their charging when the prices are low helping stabilize the grid.
Some even grid companies even support adding cars charging to the ancillary markets further increasing grid reliability - while also paying the BEV owners for their service.
Taking in the supply chain from producing oil, refining it and transporting it the change in electricity consumption is negigible because especially the refining step is quite electricity intensive.
But if no refining happens in a market then something like a 20-30% increase in electricity usage is expected.
Please do tell me how that entails a "collapse"?
A typical commute of 50km/day at 20kWh/100km means you have to put 10kWh into you car (per day). A 230V outlet can deliver 3,7kW at 16A, so your car would be topped up again after about 3h.
Tesla Supercharger prizes at 20kWh/100km are in the same ball park as Diesel at 5l/100km. Charging at home should approach half that, and charging with PV will amount to <2€/100km.