This part: "You might lose your whole arm, instead of an hand, but that is a sacrifice that I am willing to take."
The point here is that for most of these third party voters, the democrat and the republican are equally awful. There is no accidentally helping the opposition because both parties are the opposition.
A big problem is democrats acting like there is no comparison between them and the republicans. The democrats do awful stuff too, they have better PR and lawyers though.
And far more simply, if the democrats are currently helping kill your family and friends in your homeland, how could ou possibly argue they should vote democrat? Would you in their position?
If its not possible for her to gain more votes than she loses by taking a stance of peace, then thats not the fault of third party voters.