Without reasonable arms and equipment, the Lebanese Army is a laughing stock, enabling Hizballah to claim that they are the real defenders of Lebanon, and this claim makes sense to the Lebanese people and others too. That was the situation before the 2006 war. Israel has no reason to fear the Lebanese Army. Whatever they used in the present incident is nothing compared to what Israel is able to bring to the front. Indeed, being its arms supplier gives the US some pressure ability on the army's behavior.
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from the article: Israel blames U.S., France for arming Lebanon