So many top Hezbollah members have been killed that it seems like it took them awhile to figure out who was still in charge to actually confirm the death.

Anyway, Israel's main goal here is to stop the rocket attacks on Northern Israel that have forced ~50,000 Israeli's to flee their homes. If Israel follows this up with a ground invasion to take the southern Lebanon region that Hezbollah operates out of, Israel will be able to achieve they goal indefinitely. At worst Hezbollah might retaliate by launching rockets that land on Lebanon – not Israel's problem.

This is similar to how Ukraine has been able to stop cross-border attacks by invading the Kursk region of Russia. Russia is now attacking Russian land in that area, allowing Ukrainians to live fairly safely all the way to the border.