This is absolutely not the case. A few other people have written about why your numbered list makes this clear, but I want to take a different tack.
This war is costing Israel a lot. It's costing the lives of soldiers. It's hurting Israel's economy indirectly. It is directly very expensive. It's prolonging an ongoing situation which is very traumatic for many Israelis (rockets shot at them and having to go to bomb shelters).
Most importantly, many Israelis want to see the hostages released, and while there are many good arguments for why this war is helping to achieve that goal, there are many good arguments against the war if the purpose is to return hostages.
Despite all of the above, Israelis are in general very unified in wanting this war to continue until Hamas is destroyed. This includes many right-wing Israelis who may have nationalistic/territorial aspirations, but it also includes almost the entire Israeli left, who dislike the current government and hate Netanyahu and some members of his cabinet.
The reason everyone is willing to pay such a high price, and being for waging a war that is costing so much, is not just revenge. It's because Israelis truly feel, to their core, that Hamas has proven themselves to be an enemy that must be destroyed, otherwise Israelis are just never going to be safe again.