You are wrong.Isreal doesnt need to save face they are effectively getting away with genocide and erasing Palestine off the face off earth. If anything this Iranian diversion is good business for them, its acting as a massive distraction. Just look at how Muslims have been pacified by this iranian attack. They all think their winning something, forgetting the bigger picture.
As for any strike back, well they sent 200 missiles/drones and didnt get one kills, so even if they send 10,000, maybe they get 10 kills if their lucky. Those sorts of numbers wont defeat the pkk let alone Isreal.
Let me add something else if there is one nation that never cared about face saving its isreal. These are the guys who find it funny to destroy mosques and make tiktok vidoes out of it, they are shameless to the core.
compare that with china who despite being 1.2 billion in size at least tries to hide their destruction of mosques. They try to cover up and hide their transgressions against Muslims. Even they know that what they are doing morally would be seen as unacceptable in the world.
They are humiliated by Iranian missiles attacked.
I've read many online israeli news where many politicians are angry with Iranian missiles attack and not satisfied with these small drones response.