Batteries improve ~15% per year ($$$ / kWh stored). It appears to be some sort of moore's law for batteries. It also means we'll see way better batteries in 10 years (4x better regarding $$$/kWh).
Now with way more range and non-stop travel (2-4x) the bottleneck will be how long you're willing to sit in your car without a major break (sleeping).
Such a future would be very similar to charging your phone at night. Most people can get away with just charging at night. Even if they travel. I expect the car battery capacity to grow beyond the point where intraday charging is relevant at all.
And once we've reached that future going to a gas station will seem like a strange thing of the past. Yep, it might be 10-20 years from now. But we'll hopefully all watch this happen.