The socalled Lebanese army is either unwilling or unable to dismantle Hezbollah. Considering that Hezbollah is stronger than the official army, that makes them the defacto military of Lebanon. Hezbollah is also a significant part of the government and has the full support of a very sizable chunk of the Lebanese population.

These facts tell me that Israel is handling this war in the proper fashion. They are handling it as a formal war with another nation. In order for the people of Lebanon to rise up and demand an end to the control of their country by Hezbollah, the Israelis are going to have to make the current situation unbearable for them.

We did the same thing in WWII with Germany. Not all Germans supported the Nazis, but enough did to give them power. Once their society was in rubble however, thanks to the policies of the Nazis, the German people's support for them was eroded away to almost zero. Maybe the people of Lebanon need a similiar wakeup call before they decide that Hezbollah's continued presense isn't good for their country.