And you will be wrong.
There are already tests taking place in some US states and abroad. Here in California there are already prototype autonomous vehicles with California DOT registration numbers for commercial use, the same ones used by commute buses and limousines.
Waymo has several of the minivans with the TCP numbers.
The legal system will decide where the liability will fall but the most logical guess would be to the vehicle operator/registered owner. All of the DMVs have started along this path anyhow, allowing provisional permission for these test vehicles to be on public roads because there is already insurance and some sort of liability agreement.
I can't predict exactly when it will happen but it's not far away.
I have been around these autonomous driving vehicles, as another driver, a cyclist and a pedestrian. For sure, I feel WAY safer around these prototype autonomous vehicles than a gas-powered vehicle being operated by a teenager or someone in their early twenties.
It is worth pointing out that these autonomous test vehicles are now collectively showing statistics that they are in fact safer than human-powered vehicles in their current testing environments.
Note that many individual pieces have already made it to mass market automobiles: lane guidance, frontal collision detection, assisted parking, etc.