I don't think it's realistic to think that an idea or belief system can be defeated by military force. People have tried, many times, to do so. I can't think of any examples where military force has successfully destroyed an idea. Even if, somehow, every currently living member of Hamas were killed, the ideas remain. Other people will connect with those ideas for their own reasons and the ideas continue. Whether they are called Hamas or not doesn't change that.
To truly diminish an ideology, we can't just kill people. There needs to be communication, societal change, an understanding and addressing of predisposing and precipitating factors.
What's happening just now in Israel and Gaza is something that I fear will lead to even more polarisation amongst our generation and younger generations. How do we explain to an Israeli child who is living through displacement from their home, or witnessed the events of 7/10, that their Palestinian neighbour is not their enemy? How do we explain to a Palestinian child whose family died in an air-strike, or who is starving in wasteland, that their Israeli neighbour is not their enemy? That's why we need to be looking to make the changes that can diminish the ideologies pushing hatred and division.
I think there were alternatives to the route chosen by the Israeli government, which could have been more effective in dismantling Hamas and rescuing the hostages. I do not believe that this level of devastation was the only option open to them. It was, however, the option they chose.
Now, the Israeli government finds itself losing international support, with escalating tensions all around, being investigated by the ICJ... And for what? Which of the initial objectives have been achieved through force? Hamas is still a regional power. Two hostages were rescued through a military operation but how many are still potentially in Gaza? And if the planned ground operation on Rafah goes ahead, there's a pretty high risk of those innocent people either dying in it or simply being taken out of Gaza altogether - while the people of Gaza are trapped there, it's worth remembering that Hamas likely still have control of tunnels which have exits outside of Gaza.
The only times when there have been significant results in terms of hostage release and aid have been when people have negotiated.
So yes, I think the Israeli government should negotiate. Negotiation could lead to hostages coming home, regime change in Gaza, progress towards a two-state solution, humanitarian aid reaching starving and dying people, justice through internationally recognised legal systems, and wider stabilisation in the region.