Perhaps you do not understand what it means for a government to resign. So who exactly, on the Lebanese side, is going to sign a peace treaty with Israel right now? You may as well have the democratic minority in congress sign a bill tomorrow, expanding health care, doubling social security, and increasing eligibility for medicaid. It is about legitimacy, and authority. Just like the democrats now do not have the authority to make laws in the US, the broken government in Lebanon does not have the authority to make peace deals with Israel.
Nigeria says troops destroy extremist camp, rescue 178 people (AP)
from the article: Hezbollah exit from Lebanon government carefully planned