There are an absolute shit ton of battery factories being build. A huge ramp up in science and research.
There is also a huge ramp up in cathode and anode production facilities.
All major lithium companies have announced major build out of existing facilities and building new once as well.
A major expansion of both natural and synthetic graphite is being done.
Cobalt is not expanding as quickly but its getting systematically kicked out from the batteries anyway.
In addition to that, LFP batteries reduced the projected demand for nickel from batteries.
In addition to that CATL is introducing Sodium batteries as well.
So maybe you were not paying attention but there is a gigantic explosion in every part of the battery supply chain happening right now. With major private and public investment. There will still be some shortages of important materials, specially lithium however its certainty being worked on.
Of course there are also improvements in safety, reliability and so on. A huge amount of research and development.
The grid has plenty of spare room in the evening "bath tub" (daytime peak is very different from nighttime peak). If you wave that magic wand and everyone has a Tesla today and everyone charges at wall outlet at off-peak times, the grid wouldn't hardly notice.
The grid operators are not stupid, they are also building generation to handle this.
While it remains to be seen if they build enough, they are planning for EVs. Where local laws allow it anyway. They see big $$$ from EVs replacing gas, and they want that money.
Challenge. Where and how are these problems being addressed, other than hoping that people voluntary reduce demand when asked?