It could happen for some popular routes, but it will be a minor nuisance and easily fixed with more supercharging stations on the routes that are more congested.
You need a way to force a car to start charging while parked in special spots, and force it to leave when done (the Tesla actually could move itself out of the way automatically, if only there weren’t a charging cable attached).
A gas fuel tank under a service station, however, is cheap, and is limited only by the size of the forecourt in how many cars it can simultaneously service. And we still have the problem of charging time. You'd probably talking a forecourt capable of charging 100-200 cars simultaneously during peak times. That's 60-120 megawatts on Musk's fast charge. That's enormous. It's an entire small power station.
For any long distance, my sense is that electric cars are still at a heavy disadvantage to the ICE for the foreseeable future, even assuming Musk's optimistic charging cycle projections.
Let's face it, gasoline still has some miraculous energy storage density / transportability advantages.