This cannot be solved. To force women on transit is to flip a coin whether they will be assaulted. You’re not going to beat a car culture with that strategy.
I heavily doubt that New York City has the appetite for incarceration that would be necessary, for even a remote chance, to turn public transit into a merely neutral option versus a car.
What about bikes? I thought they were great too, until someone was careless with their dog and left me bleeding and weighing the probabilities of serious disease. Just like that, the dream was dead and I realized we will never escape car culture.
Cars are bad. The alternatives are too flawed and dangerous in their own ways, to have any serious chance at unseating the incumbent.