It can be done, but will require massive investment in infrastructure.
There are also problems such as https://en.wikipedia.org/wiki/Duck_curve and other things that can be mitigated with ADR to an extent, but it's absolutely not easy
I do however think that we would be better off funding and building massive amounts of solar that gives us enough energy surplus to do large-scale carbon capture, instead of forcing everyone to move to electric vehicles.
If you think about it, we right now have an open loop transportation system - dig stuff up from the ground, burn it and forget about it in the atmosphere. Basically, extracting easy to use energy that was captured over a long period.
But we now have the tech to extend that to a closed loop system - capture enough energy from solar to recycle the burned fuel back into burnable fuel.
This will also mitigate all the co2 created when producing electric cars btw.
Plus, having that much battery capacity plugged into the grid should be exploitable to help manage the vagaries of solar and wind power.
If it really is so simple, why when I live in London do I not see entire streets filled with chargers? Surely you'd think that'd be in place by now given the time frames?
I think it's hand-wavey to say 'oh you can just charge at low current'. And if you've ever seen a petrol station near a motorway here you'll realise the idea of parking your car for x * 10 mins to charge would simply not work, there'd be multiple mile tailbacks.
Overall the govt treats this issue like it's a smaller problem than it really is.
The govt are going to make these cars mandatory soon. London is the ideal place to do this due to infra + rich people with EVs (more than you might think, far from 'almost nobody'), yet I don't see any street that has charges along it.
My point is that it's not easy. Having to upgrade the grid and dig up tons of roads is simply not easy no matter how much people want it to be.
Here's one within 100 meters of my very run of the mill flat https://www.google.com/maps/@51.4689844,-0.1013741,3a,30.1y,...
Here's an example of the light pole chargers that are being installed in residential areas in London:
https://www.ubitricity.co.uk/b2b-local-authorities/
They deliver 5.5 kW, which is fine for overnight charging.
They are also installing a few 43kw charging points for faster top-ups.