The OP was asking about the demise of Diesel. In reality its the not about the end of diesel but more eradication of dirty Diesel combustion engines.
The Diesel problem would not exist if it were possible make an engine that did not create pollutants, or if we were able to practically collect them from the exhaust gasses as they are produced. successive versions of EURO engine compliance have moved towards this goal, but there is still a long way to go. There are processes that can actually do this but and continued development will reduce size and cost to the point where thy may be viable and can be fitted to vehicles, but at the moment they are not viable.
So what other strategies are there that could make a significant impact now?
The most draconian would be to ban all private transport and move people and goods onto public transport. But we all know how impractical this would be. But moves towards this sort of strategy are being implemented in some places, along with additional charges for entering restricted areas, as if charging additional money actually tackles the problem, as the money does not go to pollution.
The trend towards vehicles that cut their engine when the vehicle is stationary certainly does make a measurable difference in the most highly congested areas, and of course it improves city mpg figures, but does little for the long distance commuter.
Hybrids are another way to reduce pollution, but how effective they are depends on the technology used. If the electricity is harvested from a conventional IC engine, brakes and transmission, the emissions wont be as low if a an Atkinson cycle IC engine is used.
The Atkinson cycle is still an IC engine but it optimised for running at a small range of RPM, Its less effective when big RPM differences are called for, making it a worthy contender for recharging batteries.
The only other realistic proposition is Hydrogen power, but whilst there are provisions being put in place for H power, its vastly expensive and the infrastructure (Hydrogen refilling stations) only presently serve parts of London.
However as Pitpony implies; we must also consider consequence of any change to the status quo. Assuming electric power does take a leading role, then we should consider how that power is produced, and the capacity of the generating system to recharge the batteries.
In terms of present generation capacity, The National Grid has little spare capacity for the daytime and early evening demand, but overnight off peak the released capacity could be used to recharge motive batteries. Perhaps if every one converted to electric drives we may have excess demand problems, but I suspect that a 100% electric transportation system is not a practical prospect, so there is still considerable scope to extend the present electric take up.
Still the biggest drawback to all electric vehicles is range limitation and the time it takes to recharge.
The idea that by taking IC engines off the road and replacing them with electric vehicles, raises the question of are we simply moving the source of pollution from the streets to the power stations? On the face of it yes, but there are several other important factors that should be considered.
The fact we can't collect all pollution form vehicles because of the size of the equipment, but size is less of an issue at a generating stations. The way fuels is burnt also affects the amount and type of pollution created. IC engines burn under high compression which tends to produce more harmful emissions, where as fossil fuelled power stations will use lower pressure or atmospheric combustion, so a more effective pollution control could be implemented more easily at power stations.
Power stations are optimised far more precisely than most IC engines in vehicles, so the generation efficiency is higher.
Some of those issued can be mitigated further by using renewables, or even nuclear, but that produces its own problems, but because it takes place in a single locality it can be managed and controlled more easily.
However its not all positives, batteries are not 100% efficient at retaining the all the power you show them, It depends on the technology used but you are only likely to get back 80% of the power you put in.
On balance I believe it's still more efficient and cleaner to use electrical power from a central generator than to burn fossil fuel in a vehicle, and as time and technology matures the benefits will continue to grow.