All change is going to disproportionately impact the disadvantaged. But I don't think we can let that be an argument against change in general.
If we instituted a vehicle weight / mileage tax (to fund road repair as EVs cut into the already wildly inadequate gas tax) and send a message that gas prices will never be cheaper in the future, that would change rapidly because there wouldn't be any way to fool yourself into thinking that you could afford that huge SUV which has been keeping you broke for years. It takes a lot to disturb a deeply-entrenched status quo and I think taxes are key, but I would ramp them in slower: set a floor on the cost for a barrel of oil and increase it annually so the writing is on the wall but there's time to make major capital expenditures.
The political backlash is a real problem, especially with the knowledge that the simple solutions like giving people financial assistance for replacing high-emissions vehicles would be met with a well-funded deluge of bad faith attacks (you can just hear the “why are they giving away Teslas to people who didn't earn them!” ads now). I suspect continued subsidies for things like EVs and solar would be possible but I wonder whether there could also be a low-rate loan subsidy program, especially for homeowners and businesses looking to electrify things like heaters, boilers, etc.
Unfortunately economic contraction is going to essential if we are going to reduce GHG emissions. We've tried the "full steam ahead, green energy will catch up!" approach for decades and it emissions have only gotten worse.
Don't forget those same people that would suffer from not having cars will suffer even more under the worse case climate scenarios.