But you cannot tolerate a terrorist force on your doorstep and certainly not one that has proven that it can kill a large number of people with relative ease, that was my point. Obviously Israel isn't going to wipe out Hamas in reality. However if Israel destroys 99% of Hamas's ability to attack Israel then their military goals have been met.
The alternative is Israel does nothing and Israeli's die and that isn't acceptable. They can stop and try to negotiate with Hamas but Hamas does not have a policy where Israel and Palestine live together happily ever after so what is going to be on the negotiating table for Israel?
You have to remember that the only reason to be diplomatic with Hamas is to achieve safety for Palestinians. If the Palestinians were otherwise safe then why would we care if Israel decided to blow Hamas into non-existence?
The Hamas ideology goes away very quickly if the Palestinian people are made safe but the second problem is Iran. Iran are naturally going to cause trouble and they're supporting the Hamas regime because their general geopolitical aim is to eliminate Israel but that isn't going to happen. How can you negotiate out of this?
It's a mess but that's just what the main antagonists want. In the meantime of course Israel is going to line up its threats one by one and attempt to eliminate them for their own safety. I don't really see the problem with that unless you have a greater solution that removes the greater problems such as the Iranian problem too.
You keep talking about eliminating threats as if that's what Israel is going to do by launching a full scale war against Hamas in Gaza. They aren't going to elimate threats any more than the US has elimanted the threat of islamic extremism with its own wars.
Stopping another attack like 7/10 is going to be achieved entirely by looking at Israel's internal problems. Why did it take 12 hours for the military to respond? How is it that civilians from Tel Aviv got to the attacked kibbutzes before the IDF? Why was the border wall rendered completely useless by a bulldozer? Why did all the intelligence and warnings get ignored?
The US didn't stop another 9/11 by invading Afghanistan, it did it by creating the TSA, bringing in xrays of all checked baggage, expanding the air marshalls service, putting reinforced cockpit doors on aircraft, banning passengers from the cockpit, gave guns to pilots, banned liquids, made us remove shoes, full body scanners, put canine units in airports.
That's what stopped a repeat of 9/11, not 20 years of war and occupation in Afghanistan.
As for why Israel would negotiate with Hamas - I didn't say they should - but I would imagine the lives of the 200 hostages would be a pretty good reason. There is no scenario where dropping over 1,000 bombs per day on an area 1/5 the size of greater Manchester is making it more likely they come out alive. Similarly, I don't see how trying to wipe out Hamas in Gaza entirely makes those hostages more likely to survive, it seems to me that if you remove all hope of survival from the hostage takers they have no reason to spare the lives of the hostages.
Now obviously they were always going to do something military in response, and I'm sure that destroying the tunnels and factories where Hamas assembles their rockets is both accomplishable and would have real benefits to Israeli security. Some small targetted assasination raids like they have done countless times before? That would also be effective.
Levelling the Gaza strip and driving the population out of their homes and cutting off all their food doesn't really make Israel any safer, it's just a collective punishment for civilians that isn't actually going to achieve the stated goals of the IDF.
The Iran question is a difficult one, and there's no easy solution, but it's not a coincidence that Iran's influence has risen as the peace process has been abandoned by Israel in favour of slowly annexing Palestine via settlements and evictions.