I really want to get to the bottom of the mindset that says things like this. What do you mean, "right to exist"?
What other nation, anywhere on Earth, has a right to exist? What happened to the USSR? Or the Republic of Texas? Or, topically enough, Palestine? Countries exert their existence by force or by diplomacy. Not by rights. And when states are illegitimate or excessively unjust, they inevitably cease to exist, to the benefit of the rest of the world.
I'm not saying that I want Israel to cease to exist. I genuinely like Israel. I've been there. I have good friends there. But it is unquestionable that Israel needs to change from what it currently is. And in so doing, it will change eventually from what the Zionists wanted it to be.
Any country that apportions rights and citizenship based on religion/ethnicity is illegitimate. This should be painfully obvious. Israel doesn't need to cease to exist to change this.
Any country that refuses to establish its borders because it wants to continue stealing land that its fanatical government believes that a man in the sky promised it to them, is illegitimate. This should also be painfully obvious. Israel doesn't need to cease to exist to change this.
Benjamin Netanyahu has stated several times, since long before Oct 7th, that he will never support a two-state solution. And I'm unaware of a single Israeli leader who has done anything to stop the illegal settlement of Palestinians land by people who, if they were Muslim, everybody would be very happy to acknowledge are terrorists. Israel doesn't need to cease to exist to change this.
Israel doesn't need to cease to exist to stop breaking any of the international laws it is breaking. But if recognising its "right to exist" means recognising a right to do any of the above, then no, I absolutely don't.