Your information is way off. Over 80% of all Lebanese support Hizbullah in its conflict with Israel. The other 20% is made up of people that don't care or are collaborators of Israel. Anyone telling you that Lebanon would be at peace with Israel if it weren't for Hizbullah doesn't know the history of the area. In the early 80s Lebanese collaborators had signed on to a deal with Israel but the majority of Lebanese rejected it and Hizbullah wasn't even around back then. In 2006, most of the country was behind Hizbullah and it still is today and will always be. Your idea of the Lebanese people wanting to be friendly to Israel is wishful thinking; mostly everyone in Lebanon hates Israel for what it has repeatedly done to Lebanon and the Palestinians and they're not about to forget any time soon.
U.S. to defend Syrian rebels with airpower, including from Assad (Reuters)
from the article: U.S. official: Arming of Hezbollah could spark Israel-Syria war