As an objective American Lebanese with primary allegiance to the USA first and Lebanon second, I would say to Israel move on beyond the incident of Quana and continue your campaign undeterred against Hezbollah. Just manage the negative PR that is thrown at you. Hezbollah uses every man, woman, and child as either a shield or a fighter, either way, it is the Lebanese Government responsibility to safeguard their citizens. The Lebanese Government refusal to rein over (and aiding) Hezbollah is the root cause. Israel provided ample warning for people to reach safety.
from the article: Qana villagers refute IDF claims building fell hours after strike