I must confess that I don't know what is going through the minds of the Israeli government these days. When Hizbullah invaded Israel and kidnapped (and killed) its soldiers, it was no surprise at all when Israel retaliated. After all, what nation would tolerate random rocket attacks launched at its civilian population, plus attacks on its soldiers?
When the Israelis used their air force to cut off southern, Hizbullah-controlled Lebanon from the rest of the country, it occurred to me the IDF was using this occasion to damage Hizbullah enough to allow the Lebanese government to move in and finish them off. Pound Hiz from the air, then go in on the ground and destroy as many missiles and kill as many Hizbullah thugs as they could find, turn the place over to the Lebanese government.
Then Israel started hitting Lebanese army bases and other targets that I don't associate with Hizbullah. What for? For once, Arab governments were blaming the right parties (Hizbullah and Hamas) for a change, as were substantial numbers of non-Hizbullah Lebanese. I think someone in the Israeli high command has miscalculated this.