The Bekaa is the avenue into Syria I think. It's also lousy with Hizbollah. At minimum, Hizbollah will wind up retreating into Syria, which will mean that Syria, not Lebanon, will be hosting Hizbollah. Israel won't then budge from the Bekaa until the peace-loving UN Security Council can come up with a blue helmet force capable of keeping the cork in the bottle, or until Lebanon has a legitimate government with an armed forces capable of maintaining sovereignty.
If Hizbollah continues firing rockets into Israel from Syria, the Assad regime will be dead meat on a stick.
.....or until Lebanon has a legitimate government with an armed forces capable of maintaining sovereignty......
The lebaneese Army will operate jointly with the IDF in the operation. Their role might be minor, but they have been invited into the fray by Saudi Arabia. The Saudi voice that is seldom heard spoke out loud and denounced Hezbollah. That was notice that Lebanon and Israel can get the job done with no objections from the people who count, the GCC.
Israel cannot take the Bekaa Valley before taking Damascus without leaving their right flank exposed. Therefore, Syria must be goaded into attacking through southern Lebanon by constant attrition of Hezbollah in the north from the air. When Syria attacks (They won't be able to help themselves because of the blind rage of the radicals.), then Israel can take Damascus. Within a day or two, the US can enter the eastern desert and destroy the terrorist staging areas and proceed across north Syria and down into Lebanon's Bekaa.
After that, the Kurds will no doubt want to join Kurdish northeastern Syria to Kurdistan. (The same will happen to northwestern Iran eventually.)