No, Israel is too busy hitting the Lebanese who don't arm Hezballah, and cannot stop them. Meanwhile the people who actually arm and finance Hezballah (Syria and Iran) are never attacked by IsraelNo, Israel is attacking Hizbollah targets in Lebanon, and of course the airports in order to deny arrival of ammo, weapons, and reinforcements (or avenues of retreat) by air. Israel has attacked Syria in the past, and has defended itself against Hizbollah, which is a terrorist arm of the Iranian gov't. The Lebanese (real Lebanese) don't want Hizbollah there, and having the Israelis throw them out of Lebanon will suit the Lebanese just fine.
Israel has attacked way more than Hezbollah, and that's where their rhetoric and their actions don't jive. Blowing up the oil next to the airport hurts regular Lebanese, and in fact enhances Hezbollah who probably have stocked everything they need for months before carrying on their attack. And I wish someone would explain to me why Israel would attack a LEBANESE ARMY post between Syria and Lebanon... I am sure that Israel wants to beat Hezbollah, but they also seem to have the ulterior motive of keeping Lebanon weak based on their actions. It's not too difficult to go from there to all kinds of conspiracy theories, which are the specialty of the Middle East. Israel's actions allow this to happen.