To me this would be a little like the KKK firing rockets into Atlanta and the US government denying responsibility.
There is no way an organisation can fire 60 rockets into a foreign territory and the government denies they can do anything about it. If they cant they havent much of a government. Certainly the Lebanon Government can be held responsible, either that or Hezbollah is running the government.
Actually more serious than that. Along with being a terrorist group, Hizbollah is an integral part of the Lebanese government, participating in elections and currently holding about a quarter of their legislative seats. They maintain a private army with the clear forbearance of the Lebanese Government. Field Marshall Dean ordering DNC troops into action in Mexico under the command of Admirall Kerry would be closer. It's a clear act of war waged by one sovereign state on another.
Hezbollah is stronger than the Leb. Govt., thanks to Syria and Iran.