Congestion pricing works when there are alternatives. If you have both no public transport and congestion pricing, what you have is only increased tax collection with no behavioral change.
No, you'll get car sharing and even if just because you swing by a spot your friend recommended to pick up passengers to near you office, on days you feel like driving yourself, and likely become one such passenger yourself after a couple weeks of that, provided you're not amongst those who couldn't do it without their own car.
If you have to go to work to keep your job, then staying home isn't a great alternative. But there are others! Carpooling for example. Or, maybe you're one of the people that will keep driving. But not everyone is like you, and some won't.