You're right. You won't convince me because you don't know the complete picture and when making judgements, the whole picture is necessary. Israel is not a murderous nation (even though you have the right to believe what you will). Incidents will and do occur that are wrong (this happens in all countries) and just in the same way that I don't accuse the entire Palestinian population of being murderous just because a few thousand of that population choose to kill innocent civilian, then I expect the same in return.
Let's make a deal, let the Palestinian minority (whomever they are, I am not interested) stop killing civilians, and I think you'll see the number of tragic incidents like in this story (however few are still way too many) diminish. One girl was shot dead, this is absolutely inexcusable, for her, for her family, friends, neighbours school etc. This has a terrible effect. I'm sure there was a genuine concern that she could pose a security risk (after all she was somewhere where she really shouldn't have been), but still there is no excuse. She should be alive today, playing with her friends at school and doing her homework.
But let me ask you this? What about the 1,000+ Israeli men, women and children (civilians of course) that have been murdered this year alone? They were where they were supposed to be, at a cafe enjoying a cup of coffee, at a disco having fun, on a bus going to school... They were blown to pieces! What did they do wrong? Were they a potential security risk to the Palestinian people? Did they look as though they were about to possibly blow up some Palestinians? What about the thousands of maimed children who are missing an arm or a leg because they decided to go to a disco or step on a bus? What did they do wrong?
I bet if that happened in the gold 'ol USA nobody would care about one little girl. Witness the aftermath of September 11! Everyone wanted blood. Muslims were being attacked in the street by the brawl (and what did they do wrong exactly?). Let's look at the source of the problem, you blow us up, you kill us, you murder us, and we will clamp down and rout out those that do. And yes, unfortunately in a war, civilians do get killed. It is an unfortunate part of war.
My suggestion. Let's stop the war. Let's put a stop to the suicide bombings where 15-year-old girls (yes two whole years older than that poor 13-year-old schoolgirl) get on buses and kill everyone on them. Let's live in peace as Israel proclaimed in 1948 and was rejected by all the Arab nations whose response to the offer of a peaceful existence with our neighbours was all out war on a tiny nation.
The hand is in their court.