I think we have more worry about electric cars coming in to start removing fueled vehicles in the next decade or two, rather than banning SUV's. My own dislike of electric cars is excessive cost and lack of range, creating range worry.
Example: my wifes Smart Fortwo was £11.5k new for a 1.0 petrol engine, range 300 miles on one tank. The identical car with an electric motor/batteries is £17k, with a poor range 70 miles at best in summer on one charge, and even less in winter, due to cold effect on batteries.
At present its diesels thats on the way out, as they are possibly going to be banned in many major cities, or having to pay a fee to enter. This was one of the reason I went over to a petrol Ecosport after a decade of EU4 and EU5 diesel cars, also the fact the EU6 emissions on newer diesels are far more complex, DPF filter, burn cycle and adblue, and thus more chance of faults, was a deciding factor to go back to petrol, which has two 02 sensors and a catalytic convertor, which is far simpler.
SUVs affecting parking....
The one thing that does affect motoring, is the large amount of SUVs now on the road which affects parking, as parking spaces have never increased in width, as cars, especially SUV's have got wider. Sometimes it is very difficult to get in your car, if large SUV's have parked either side
If you look at USA parking, because of wider cars there from way back in the 50's, they usually have wide parking and even in the diagonal arrangement, so you just drive in and out diagonally, instead of having to make a ninety degree turn to park. There should be more of that here in the UK. Or at least wider parking spaces.