Originally Posted by Libertine

Actually, Hezbollah started with more than just the kidnapping, they also shot a number of rockets into Israel right away. But that aside...

Your response would be a valid one if there were no civilians involved. However, when there are civilians involved, the "no matter what the costs"-response is an immoral one, for it fails to recognize the intrinsic value of human lives.

As for the Lebanese government... they only just succeeded in (mostly) getting rid of Syria. Meanwhile, the largest Lebanese party already wanted to have Hezbollah demilitarized before this whole conflict, but they were unable to do so because it would probably have sparked a civil war if done by force, while the country was still lacking the stability to make that major step.
Of course, the current actions of Israel have made it all but impossible for Lebanon to actually follow through on this, because support for Hezbollah among the Shia population of Lebanon has been boosted immensely. After all, Hezbollah are the ones fighting the country that is killing their husbands, wives, fathers, daughters, etc.
What Israel is doing right now pretty much ensures that Hezbollah will continue to hold their position within Lebanon, while preventing Lebanon (with its (formerly?) pro-western majority in parliament) from entirely breaking of the influence of Syria and Iran.