"1) There are three parties with immediate concerns towards a ceasefire: Lebanon, Israel, and Hezbollah.
2) The government and military of Lebanon are not directly involved in the current fighting. Indeed, it can be argued that their unwillingness to get involved with the affairs taking place within its borders are a direct cause of the fighting.
3) Hezbollah has expressed no interest in a ceasefire, but rather has ratcheted up both its attacks and its rhetoric.
4) Hezbollah is not a nation-state, but rather a terrorist organization with literal barrels of blood on its hands -- a significant fraction of it American.
5) Israel has clearly stated its terms for a ceasefire from the instant they started shooting back:
A) The return of its kidnapped soldiers
B) A cessation of attacks by Hezbollah from Lebanon
C) The securing of Lebanon's southern region to prevent Hezbollah's return.
6) Neither Hezbollah nor any party with influence over them has shown the slightest interest in accepting or even discussing Israel's highly irrational and unreasonable position of "stop killing us, and we'll stop killing you."
7) As Hezbollah is a terrorist organization (which, it always bears repeating, had killed more Americans than any other terrorist group before 9/11, and still holds the #2 position), and it is the official position of the United States to not have any dealings with terrorist groups.
8) Especially when it comes to saving their asses from getting blown to bits by our ally for committing terrorist acts against that ally."
If Hezbollah will just give in to Israel's demands, this could be over. But no one seems to expect that. They just want Israel to "show restraint".
My opinion? Go get 'em Israel.