Getting back to your original question, how would I win the war that Israel is currently waging against Hezbollah in Lebanon if I had the full spectrum of US assets at my disposal? Assuming for a moment that we don't adopt Hattie's strategy (although I agree that it would not only be the easiest but would also address the problem on a long-term basis), I think it requires a shift in the perception of the engagement.

This isn't a war in the traditional geopolitical sense, with Israel and Lebanon having declared war on each other as nations. This is Israel attempting to remove a rogue terrorist army that has taken root in a soverign nation with at least tacit if not overt approval of the government and local populace. If I really wanted to win the engagement I would mobilize every member of the US special forces, Delta, Navy SEALs, etc and send them in with an unlimited budget, complete logistic support and very flexible rules of engagement. That should allow them to either elimiate Hezbollah from Lebanon either by attrition or by having them flee the country. This will create the conditions to allow Israel to retreat to their border.

I haven't got a clue how to handle Iraq. Its a civil war.