I was able to stop in time and I started HONKING my horn at full blast to get attention from anyone nearby (which I did). I rolled down my window enough to shout, "Woman being attacked! Get off her! HELP!" for anyone who could hear.
It turns out that the woman had tried to throw herself in front of our car, looking to kill herself... Those two men saved her life.
Earlier in the day, my students and I had been discussing how Muscovites won't involve themselves when someone needs help in public for fear of then being dragged into the bureaucracy of documentation with the police.
I've seen people literally dying in the street after being attacked, but no one will stop to help for that very reason. I once had to physically block the entrance to an adjacent restaurant, refusing to leave and stop shouting for help until they called an ambulance and the police (I didn't have my mobile phone on me).
This time others DID get involved, saving her life, and also protecting me and my children from a potential crash. I, on the other hand, was relieved to be able to be the "Muscovite," continuing on my way without having to get more involved. My girls just didn't need to see any more than they already had.
Just another day in Moscow...