Also, Rav Vozner writes in his psak that the Gemora’s restriction against women driving a wagon carries over to driving.
While I dont have an exact psak quote, The women of Lakewood do drive so obviously Rav Aharon Kotler permitted it.
The kehillas that have this restriction tend to live in cities or self-sufficient towns that people are within walking distance to many necessities and have school busing and modes of public transportation.
Kiryat Joel is not in a city and is more spread out than williamsburg and you really need a car there