I'd say the day we switch to driving on the right hand side of the road in the UK is the same day all cars will be driverless. They can introduce both at the exact same time, along with the new shuttle service taking people to the brand new Tesco Extra on the moon.
Well it would be good to have a single standard throughout the EU. If a road link to mainland Europe is ever built then people would have to change the side they drive on if they are going to enter the UK. As for driverless cars I believe they are inevitable, the only question is how long it will take before they are introduced.
You said eight years, presumably as you have some actual detail of a planned introduction and didn't just guess it?
If we ever got a road link to France, you could easily divide the lanes and have one cross over/under the other to swap. You wouldn't need to change the whole of the UK for one road.
Or, maybe we should ask the whole of Europe to change to driving on the left? That would be much easier for us!