Do you lack empathy for other parents and other children? Do you expect them to die to save you and your's, or will you just expect enough of them to die to stall for the duration of your lifetimes? How direct does your contribution to the deaths of others have to be? If your daughter was held hostage, would you go to the camps every day and pull the lever on the gas chambers, or would that be 'too much'?
My mother loves me, and I know she'd die to save my dumb ass. She'd kill a few people at the least too. But I also know she would be deeply ashamed of me if I was bound by common morality to assist in the prevention of a great evil, and chose instead to flee - not just spur of the moment, but continually, every day of my life, until either the evil was successful in its genocide or until other people paid the price on my behalf.
Could you look your daughter in the eyes, and tell her a hundred children raped to death were the price to not risk her life? Not even a guaranteed trade, just not to risk her life? What other risks to her life are unacceptable?