SO not having a cease fire is to the advantage of the Lebanon PM.
It depends upon who wants enhanced power and strength in Lebanon. At the present there are two Hezbollah members in the Government (I think.) Their presence is essentially backed by their thugs in Southern Lebanon. If Hezbollah is destroyed, it would enhance the power of those in the Government who are NOT Hezbollah, and that would actually help their current Prime Minister. I am not saying that the present Government officials do not back Hezbollah, but losers are quickly forgotten, and the more Hezbollah weakens, the more quickly they will be forgotten, IMO.
Read the post on "Most Hypocritcal Nation" for a different view of what most (non-shiite) Lebanese want...