Nope, not "wildly cleaner" overall. Here are some quotes from a couple of major studies:
"As for greenhouse-gas emissions and their influence on future climate, the researchers didn’t ignore those either. The investigators, like many others who have probed this issue, found that electric vehicles generally produce fewer of these emissions than their gasoline- or diesel-fueled counterparts—but only marginally so when full life-cycle effects are accounted for. The lifetime difference in greenhouse-gas emissions between vehicles powered by batteries and those powered by low-sulfur diesel, for example, was hardly discernible.
The National Academies’ study stood out for its comprehensiveness, but it’s not the only one to make such grim assessments. A Norwegian study published last October in the Journal of Industrial Ecology compared life-cycle impacts of electric vehicles. The researchers considered acid rain, airborne particulates, water pollution, smog, and toxicity to humans, as well as depletion of fossil fuel and mineral resources. According to coauthor Anders Stromman, “electric vehicles consistently perform worse or on par with modern internal combustion engine vehicles, despite virtually zero direct emissions during operation.”"
You can read more here:
EVs are far from a cure-all, even if batteries become cheap.