As for why Israel withdrew, it never wanted nor does it want to occupy any country other then the one that they claim. Why wouldn't they back out?
I'm not talking about occupation. If everything you claim is true, why would they back out without destroying Hezbollah
? That was their most important victory condition. Why would they be satisfied with abject failure in their victory condition? (Their other aim was to terrorize southern Lebanon with indiscriminate airstrikes, and that worked, but leaving Hezbollah in place and intact was not part of the plan.) It did no wonders for Olmert's career, it damaged the IDF's image... what would be the point?
As for your claims about having read "the statistical facts," it sort of depends on which ones, since there are no readily-accessible statistical facts about Hezbollah casualties: guerillas don't wear uniforms and the IDF have a habit of counting slain civilians as "combatants" anyway. Israel's own high estimate of Hezbollah casualties, BTW, does not
claim the 10:1 kill ratio that you claimed. The high IDF estimate, probably inflated, is 600 Hezbollah killed -- less than five for one, which is a shocking statistic for the IDF to actually admit to. If one assumes the Hezbollah estimate to be lowballing, the likeliest real ratio is three or two to one, which is singularly unimpressive for a supposedly elite conventional force against guerillas and makes nonsense of the rosy propaganda claims about how the IDF had achieved "victory." (All that info is at the Wiki link I provided earlier.)
Your claims about "statistical facts" don't seem to have a way of holding together very well or explaining observable reality. Propaganda may go both ways, but as far as I can see here (on the July War tangent at a minimum), only one of us has been taken in by propaganda going only one way.
(One of the best analyses of the July War, incidentally -- informal and stand-up-comic-ish, but it still holds up years later -- came from the infamous War Nerd Gary Brecher
. I recommend it.)