As Miguel pointed out, you're confusing Lebanon with Hezbollah.  Hezbollah may be centered in South Lebanon, but the Lebanese are not all Hezbollah members.  And, yes, most of these groups have non-militant wings.  They participate in politics.  What frightens me is that we have a new government in Lebanon that, prior to this crisis, seemed to be showing some promise.  Israel had an anti-Syria neighbour to its North, but it may well drive the population (and the government), out of fear, to support groups like Hezbollah.  Rather than help Lebanon clean up Hezbollah, Israel is destabilising the Hariri government.  And bear in mind that the destruction of terrorism is not a foreign concept to Hariri, whose father was murdered with a car bomb suspected of being planted by the Syrian govenment -- this, according to Wikipedia.

Be nice to America. Or we'll bring democracy to your country.