What's important, if there is a next go around, is the fact Israel has already informed the Lebanese the gloves will be off. In the 2006 conflict, they were hopeful the citizens of Lebanon would use the opportunity to rid themselves of the Syrian and Hezbollah elements in the country. Unfortunately, that did not happen.
Now that Hezbollah has co-opted the Lebanese government, it makes it easier for Israel to target the nation's leadership and infrastructure, should Hezbollah attack.