>the overall change in emissions is not better
This is false. The emissions associated with producing an EV are on the order of 15 tonnes CO2 equivalent, vs. 10 tonnes CO2 equivalent for a fuel combustion vehicle (FCV):
http://tasri.org/upLoad/down/month_1710/201710242243229582.p...
Meanwhile the emissions associated with gasoline vary but are at least 0.25 kg per mile (EPA average 0.4 kg/mile):
https://nepis.epa.gov/Exe/ZyNET.exe/P100JPPH.TXT?ZyActionD=Z...
Over the lifetime of the car -- at least 100000 miles -- that's 25 tonnes at a bare minimum. But EVs last longer than FCVs, so we should increase the range to at least 200000 miles and 50 tonnes CO2 equivalent (or 80 for a typical car), where EVs start to pull away substantially. Furthermore, the emissions associated with EV producing depend in part on fuel-derived electricity used in manufacturing, which can be reduced dramatically by switching to nonfuel electricity production.
Overall, EVs represent a massive decrease in pollution.
However, the most important things to solve are the problems we haven't solved: principally grid-level electricity storage that permits a higher fraction of electricity production from renewable sources. EVs, wind turbines and photovoltaics by contrast are technologies that are already applied in practice.