They are in fact killing hezbollah and reducing hezbollah to zero
My God, you really believe that don't you ? Hezbollah were formed nearly 25 years ago and have survived through the civil war and the Israeli occupation and you think they can be destroyed in two weeks of incursions

! Read up on the region. These are not a uniformed force tied to a specific area who stand to defend a town or village - they're stateless terrorists constantly moving.
and if there is any gained support of hezbollah it is a bi-product of their action.
So killing one and creating two is victory ? Interesting idea ...
And now the much used appeasement accusation. I'm no appeaser but you can't seem to accept that this isn't a war for conventional warfare that can be won in weeks or months. This is a war of Intel, special forces and black ops. I was truly happy when we saw Zarqurwi killed in the manner he was - no accident but Intel, and precision. We win when we start to terrorise the terrorist. When he thinks the next person to come through the door is a special forces op. When he fears the people round him, not trusts them. When the people round him believe he represents death and we represent peace. Every side report of a raid on a house or a small group of insurgents killed in a "raid" makes me happy as these are the glimpses of what we are allowed to see of REAL victories and progress against these animals.
So what use is conventional warfare ? Well if can catch a rocket launcher in the open then sure laser guide it and WTFG but otherwise it's not effective. About the only operation to be of any use right now is probably the fight going on at Bint Abeil but that is of only minor importance in the big picture.
You carry on Hooo-Yaaa-ing to the video of Artillery batteries and F16's. I'll keep my heartfelt thanks to those patrolling in Iraq, Afghanistan and elsewhere trying to build peace and relationships and to especial thanks to those we never see who take the fight up close and personal to the terrorists and kill them in their beds. They are scum and need to die isolated and and in fear.
But I'm just an anti-semtic yoo-ro-pean appeaser ...