There is more than that Guardian article to wonder about. The problem is not that a majority of Palestinians believe Israelis should not exist. That is a very one sided view.
Israel/ Netanyahu, does not agree that Palestian should have their own state. That means on one level believing they ‘should not exist’ (according to Israelis’ own reaction when anyone suggests a single Israeli-Palestinian state).
But more than that, the the founding ideas of Netanyahu’s Likud Party were stated in terms that preclude Palestine’s existence:
The Right of the Jewish People to the Land of Israel (Eretz Israel)
a. The right of the Jewish people to the land of Israel is eternal and indisputable and is linked with the right to security and peace; therefore, Judea and Samariawill not be handed to any foreign administration; between the Sea and the Jordan there will only be Israeli sovereignty.
b. A plan which relinquishes parts of western Eretz Israel, undermines our right to the country, unavoidably leads to the establishment of a "Palestinian State," jeopardizes the security of the Jewishpopulation, endangers the existence of the State of Israel. and frustrates any prospect of peace.
https://www.jewishvirtuallibrary.org/original-party-platform-of-the-likud-party
As to polls, one from the Pew Centre Washington 2015 found this view among Israelis,
as reported here by The Times of Israel:
Nearly half of Jewish Israelis agree that Arabs should be expelled or transferred from Israel, and a solid majority (79 percent) maintain that Jews in Israel should be given preferential treatment, according to a Pew Research Center in Israel survey published on Tuesday.
The poll, with 5,601 in-person interviews of Israeli adults, conducted between October 2014 and May 2015, found that Israeli Jews increasingly believe the West Bank settlements help, rather than hurt, Israel’s security – and most (61%) believe Israel was given by God to the Jewish people.
^Nearly half of Jewish Israelis agree that Arabs should be expelled or transferred from Israel, and a solid majority (79 percent) maintain that Jews in Israel should be given preferential treatment, according to a Pew Research Center in Israel survey published on Tuesday.
The poll, with 5,601 in-person interviews of Israeli adults, conducted between October 2014 and May 2015, found that Israeli Jews increasingly believe the West Bank settlements help, rather than hurt, Israel’s security – and most (61%) believe Israel was given by God to the Jewish people.^
https://www.timesofisrael.com/plurality-of-jewish-israelis-want-to-expel-arabs-study-shows/
…….
Here is a rabbi at a Jewish pre-military yeshiva 2019 instructing and inspiring students showing that there are extremist religious fanatics in Israel too:
^“The gentiles will want to be our slaves. Being a slave to a Jew is the best. They’re glad to be slaves, they want to be slaves,” he told a class in one of the video clips. “Instead of just walking the streets and being stupid and violent and harming each other, once they’re slaves, their lives can begin to take shape.”
“All around us, we are surrounded by peoples with genetic problems. Ask a simple Arab ‘where do you want to be?’ He wants to be under the occupation. Why? Because they have genetic problems, they don’t know how to run a country, they don’t know how to do anything. Look at them.”
In the lecture, Kashtiel goes on to embrace racism against non-Jews.
“Yes, we’re racists. We believe in racism… There are races in the world and peoples have genetic traits, and that requires us to try to help them,” he said. “The Jews are a more successful race.”
TRIGGER WARNING
In another clip from the Bnei David Yeshiva published by Channel 13, Rabbi Giora Redler can be heard praising Hilter’s ideology during a lesson about the Holocaust.
“Let’s just start with whether Hitler was right or not,” he told students. “He was the most correct person there ever was, and was correct in every word he said… he was just on the wrong side.”
Redler goes on to say that pluralism is the “real” genocide being perpetrated against the Jewish people, not Nazi Germany’s Final Solution.
https://www.timesofisrael.com/embracing-racism-rabbis-at-pre-army-yeshiva-laud-hitler-urge-enslaving-arabs/
Or see what these little Jewish children at an Israeli religious school have been taught to think. They are being taught to be racist, religious fanatics. It is not only Hamas.
https://www.middleeastmonitor.com/20170727-jewish-students-arabs-are-slaves/
……….
And what about Israelu feelings about Palestinians now?
Plans for ethnically cleansing Gaza began before Trump won in the US presidential elections.
Daniella Weiss had sight seeing tours by boat from where Israelis could enjoy watching the rising smoke over Gaza from the Israeli bombs as they crushed, suffocated and burned innocent women and children, while the onlookers were imagining new homes.
Way back last year Trump’s nephew was coveting the real estate there saying Israel should move the Palestinians out and clean it up.
Smotrich said (January) “We want to encourage willful emigration, and we need to find countries willing to take them in,”
Then there was the plan of the general Eiland, “ Gaza must be completely destroyed: terrible chaos, severe humanitarian crisis, cries to heaven..." expressed at the end of October 2023.
Followed up recently by Netanyahu’s carrying it out:
Israel has issued many evacuation orders for the north throughout the yearlong war, the most recent of which was Sunday. The plan proposed to Netanyahu and the Israeli parliament by a group of retired generals would escalate the pressure, giving Palestinians a week to leave the northern third of the Gaza Strip, including Gaza City, before declaring it a closed military zone.
Those who remain would be considered combatants — meaning military regulations would allow troops to kill them — and denied food, water, medicine and fuel.
https://apnews.com/article/hamas-israel-generals-plan-eiland-gaza-219d7eb9a3050e281ccc032d5a56263c
Trump gave plenty of 2000lb bombs to help.
Now, in what way is there any surprise about the new Trump plan for Gaza to remove the Palestinians out to Jordan and Egypt and never allow them back?
How many Israelis endorse this plan of Trumps and believe Palestinian Gaza should not exist ? 65% according to a poll by the Jerusalem post:
Almost two-thirds of Israelis (65%) support US President Donald Trump’s plan to take over Gaza and believe it is the best solution to end the war in the coastal enclave, a Jerusalem Post^ poll revealed on Tuesday.*
https://www.jpost.com/israel-news/article-841693
Meanwhile extremist Israeli settlers not only continue to illegally settle the West Bank but do so at a faster rate than ever, and harass and harm Palestinians there aided and abetted by the Israeli government - and given a thumbs up by Trump who has given removed the sanctions Biden had imposed on the very worst of the Israeli illegal settlers on the West Bank.
CNN sums recent reactions including this from El-Sisi ( my bolding).:
El-Sisi criticized Israel’s move to evacuatemore than a million residents from northern Gaza in October 2023, it as part of a larger plan to rid the entire area of Palestinians.
https://www.cnn.com/2025/01/25/politics/trump-gaza-strip-jordan-egypt/index.html
…………
Then there are the thousands spin thousands of dead Palestinians and more under the rubble.
Hamas is a murderous, fanatic group. What they did on Oct 7 was an atrocity and the kidnapping of peaceful people as hostages, including non military men, old men, women and children was and is heinous and nothing justifies it.
Without knowing what the answer is I do not believe though, as some on this thread seem to, that the problem all lies with Palestinians’ intention to eradicate all Jews, while Jewish Israelis are all peaceful, democratic rational and fair victims of Palestinians who are just defending themselves with no agenda of their own to inhabit the river to the sea and either suppress or get rid of Palestinians.