Is Peace Possible?

Two women have been corresponding, one in Palestine and one in Israel, through the BBC. The first letter was published in March, the second was last week. To me, reading their letters is indicative of the entire problem. Both sides have valid points, but can't seem to relate to what the other is saying. There's an expression in the US, put yourself in someone else's shoes - neither side has been able to do that. And I don't think peace is possible until both sides can.