Earlier quoted context omitted.
Hybrids that emit carbon will still have a huge effect on global warming, simply because there are so many cars. There isn't a huge amount of headroom for efficiency increases, so you're only going to get anywhere near "net zero" by charging from a renewable grid nearly all the time.
According to this chart, road transport sector is responsible for 11.9 % of greenhouse emissions wordlwide.^1 Could you please expand upon how you define the huge effect it will have on global warming? Don't you think it's better to focus on other parts of that pie, where it's easier to implement widespread savings and change? ^1: https://ourworldindata.org/emissions-by-sector
We are already moving our electric grid to renewables. Wind and solar are both cheap sources of power, and have a lot of potential to account for more of the electric load. Putting electric on renewables, plus switching cars to EVs (charged by renewables) should eliminate 50% of that chart - and this is something we can pull off in less than 20 years. Some of the other 50% is also easy to switch to battery powered, but they are all small niches that each need to be worked on separately. (If you are in one of those niches please think about this!)