Within a personal carbon budget framing, the embedded carbon of a single small EV (quoted below as 11-12t) used for many years by a household of, say 3-5 people, doesn't sound too prodigious. https://twitter.com/Privatecarfree/status/1332294457354563584

IIRC, the global per capita footprint should be ~2.5tCO2e by 2030 for a 1.5ºC trajectory, and again, EVs, including in-use emissions don't seem completely incompatible with that.

I don't think ubiquitous private cars make the best transport system solution for lots of reasons, but my impression is the biggest worry with relying on an EV transition to solve transport emissions is that it won't happen fast enough -

- and we might erode the potential for carbon savings with bigger cars and more cars. AFAICT, manufacturing emissions don't make EVs completely incompatible with 1.5ºC budgets, though I think the numbers do imply a reduction in car numbers and average car size is wanted.

The numbers here suggest 8tCO2 for an EV's manufacture sans battery, and then 65kg per kWh, making an EV with 40kWh battery cost 10.6tCO2e.
(these numbers may have reduced since publication?) https://www.sciencedirect.com/science/article/pii/S2542435119302715