Fear, Uncertainty, and Doubt.
The Koch brothers, among other entities, have put a LOT of money into spreading FUD about electric cars. Tons of "articles" are available in both new and traditional media that talk about the expense of replacing EV batteries (not really a thing), the environmental aspects of mining Lithium (it actually comes from simple seawater, not big ugly mines), range/infrastructure concerns, and all of the stuff that you see EV skeptics talking about.
Big money buys public opinion these days, unfortunately.
Teslas can charge from pretty much anything now, with a couple of caveats that are addressed by adapters that either haven't had software written for them on some models or aren't available yet in some markets.
Every production electric car built for the North American market in the last decade or so can use the SAE J1772 connector, which is what the "normal" chargers use.
There are three standards for fast(er) charging, and which company's car you buy dictates which you'll get. You have the Tesla Superchargers, CHAdeMO, and SAE-CCS. The Tesla Superchargers are 150kW now, and in the process of being upgraded to 250kW. SAE-CCS and CHAdeMO stations are generally 50 kW, with 150kW ones starting to roll out.
The Tesla Superchargers are pretty much evenly spread along the Interstate highway system now, exactly how you need it for a road trip. SAE-CCS and CHAdeMO tend to be concentrated in big cities, completely missing the point. Those two also tend to both be attached to a single charging station to maximize compatibility.
Hopefully this all makes sense. It's getting late and I have too much blood in my caffeine stream.
Most new Supercharger installations are being built with at least one station that allows pull-through with a trailer. Instead of a simple parking spot with the cabinet in front of the spot like the old ones, the pull-through spots have the cabinet to the side of the spot. I've seen pictures of Supercharger stations that are 100% pull-through even. Some of the existing stations are having pull-through spots added if possible.
You need less distance between charger and receiver than that, or it's going to cost you way too much money to charge. Distance = inefficiency.
There is a company called
Plugless Power that sells such a beast, though. There's a unit in your garage, and a receiver that gets mounted under the car. If you park the car *just* so, you'll get a good charge. If it's too far off to the side or something, it'll get less and less efficient.
I'm sure that'll get bigger as time goes on, but it seems most owners, myself included, don't have a problem taking half a second to grab a plug and plug in the car.