The grid issues are not really that significant. You are correct that we would not be able to do it if things changed immediately. We would need another 800-1000 GW of power generation (an extra 15-20%). But it is not going to happen overnight. Cars last a pretty damn long time. Even if we hit 100% of new cars being B/PH EV in 2035, only about 13% of cars on the road will be EV at that point. It would take another couple of decades for those to be phased out. So this is more problem over the span of three to four decades to increase our grid capacity by 15-20% which is absolutely doable. It can actually result in a more stable grid if vehicle to grid becomes anything close to the norm.
I brought up range and charging speeds because that is what most people worry about. That is almost certainly due to their current mindset from using ICE vehicles where they go to a station to charge. But yes, that was more generalized info and not geared towards your points.
I did forget one other issue with BEVs that needs to be fixed: they are insanely heavy. That can take quite a toll on roads. This can be solved a couple of ways. The easiest way would be by not buying fucking massive SUVs and trucks that are not needed for the vast majority of trips. A commuter car used to be a thing. Speaking of commute, that brings us to number two. A commuter car does not need 300 miles of range. Small cars with 100-150 mile range are absolutely fine for 99% of trips. The last way would be to use solid state batteries since they can be much lighter for the same range.
But switching to EV will not get us even close to where we need to be for emissions because whole they may produce 80% fewer emissions over the vehicle’s lifespan, consumer vehicles only make up less than a third of emissions. Public transportation and biking infrastructure could be massively improved and help a hell of a lot more. Then we need to work on trucking, flight, and energy production.