tbf Hezbollah are local too but Lebanon is full of different cultures / religions and unfortunately Shias are the biggest group and backed by Iran so the Govt is pretty powerless as Hezbollah are better equipped than the Lebanese army so they in effect control the South and their actions resonate over the whole of Lebanon .Quite a few of the Lebanese people don't like Hezbollah, but they can't do anything to get them out of their homes. So yes Israel are fighting within Lebanon but only because the terrorists are there and not even wanted there by the local people, but forced on them.
... so there's no invasion of Lebanon?... what are the Saudi's wibbling about eh?
