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Hizbollah "kidnap" 2 (two) Israeli soldiers.
Israel holds in prison 10 000 (ten thousand) arab prisoners.
And Israel routinely uses "targetted assassinations" (ie murder).
Israel invaded lebanon in the 80s , and still holds lebanese land - shebaa farms area - not to mention Syria's Golan Heights, and vast tracts of palestinian land.
Israel is the agressive predator in all this. The "terrorists" are fighting to get their land back from Israel using the onlt means at their disposal, like guerilla armies everywhere.
Your approach is tantamount to saying UK should have flattened Dublin to dissuade Ireland from harbouring IRA elements. Totally immoral - and, as you as a military man should know, counter-productive since it merely increases sympathy for your enemy.
You can go round in circles for ever arguing middle east politics. In the end, though, there will only ever be genuine peace when Israel and its neighbours start to actually try to live together and recognize each others' sovereignty and right to exist, and, right now, the thing which blocks that is NOT Hizbulla, Hamas etc, it is Israel's agressive land grabs and its aim to hang on to Palestinian land it seized in the 67 war.
Until the Palestinians get justice, there will be no peace.
Israel can only do that because of US backing.
So don't preach about arab terrorists. To most of the world, and to ALL of the arab world, they are freedom fighters, fighting for justice for palestine.
you can agree with that or reject it, but the fact remains that peace will only come when Israel and Palestine agree a just peace between themselves, and it is Israel which blocks that and has done for years, because it does not want to give up its illegally held land.
As for USA, it is directly in USA's interest to have a weak, divided Muslim world, on the old divide and rule thesis. I am will to bet that USA does not want peace in the middle east. It is terrified of a united Arab entity.