Matthew,

We need to discern what we mean by "interfering" with our free will. He may alter people's acts, but that's different than changing their will. 

In one sense God is always interfering with our free will by offering us grace, which would enlighten us and strengthen us to do the right thing. But He doesn't force this on us.

I think Jesus in His human nature would have acted on whatever was true, good, and just when He was here in the flesh.

He saved a woman who was about to be stoned to death (John 8); hence, helping a woman in your scenario doesn't seem farfetched. Although He spoke and acted, taught and performed miracles; and although He might stop an injustice like the rest of us ought to, He too, would never force anyone to accept God and do the right thing against their will.

Pax,