Hamas is clearly a violent organisation through the actions of its military wing that committed murder and atrocities on 7 October (although not all the atrocities claimed by the Israeli government after the attack - they made some up). Its various civil organisations are also intolerant of dissent. But the name Hamas does not mean violence, as you surely know.
Hamas is an acronym of the Arabic phrase حركة المقاومة الإسلامية or Ḥarakah al-Muqāwamah al-ʾIslāmiyyah, meaning "Islamic Resistance Movement". This acronym, HMS, was later glossed in the Hamas Covenan by the Arabic word ḥamās (حماس) which itself means "zeal", "strength", or "bravery".
https://en.wikipedia.org/wiki/Hamas
Hamas has also changed its charter from the 1988 one you appear to be quoting to a new one in 2017 that explicitly claimed its enemy is Zionism not Jews and about the same time its leaders accepted the idea of a two state solution and made peace approaches to the (then) Netanyahu government that were ignored.
Most western commentators and governments don't believe the stated intention of the 2017 Charter. I don't think it matters much whether the words are believed or not. It is words and actions together that count. Hamas is violent, Islamist, Israeli-sponsored and funded in its early days (to undermine Fatah) and a part of the Palestinian resistance. it has support from a large section of the Palestinian people in Gaza (some on the West Bank) who see no other way forward as every peaceful route has been violently crushed by Israel or demonised as anti semitic by Israel's allies. But there are also large parts of the Palestinian people in Gaza, the West Bank, Israel and the diaspora who want a different future and a new leadership (not the Palestinian Authority - sub contractors to the Israeli state in the minds of most in the region). Israel has many of the potential alternative leaders in its gaols - many of them in administrative detention - no charge, no trial, no conviction, even by the apartheid military courts. An alternative to Hamas and the PA is possible - but Israel would have to help make that happen. No sign of that.
And on Israel's 'publicly announced desire to eradicate an entire nation' you must be trying really hard not to hear or read that if you have missed it. The whole Greater Israel project is about ethnically cleansing the Palestinian population and it has driven Israeli state policy from 1948 - and more explicitly since 1967. The daily persecution of Palestinians in the occupied West Bank, the 16 year siege of Gaza, the theft of land and homes in the West Bank and East Jerusalem, the periodic 'cutting the grass' purges of Palestinians in Gaza, the murders and destruction carried out by armed settlers in the West Bank (more recently supported by the IDF), the racist and genocidal statements of government ministers in the past year (mainly the fascist ones, but also from within Likud), the litany of war crimes against Palestinian civilians which have ramped up massively since 7 October.
There is also the open discussion amongst Cabinet members about ways to clear Gaza of all Palestinians (and expel them to Jordan, Egypt or elsewhere) and the stated intention (carried through in practice with just a dribble of aid allowed) to deny Gazans power, water, food or sanitation. Many international lawyers believe that Israel has long passed the point where its actions constitute genocide (definition: the deliberate killing of a large number of people from a particular nation or ethnic group with the aim of destroying that nation or group) and that is exactly what you claim not to see from Israel. Your form of Christian Zionism must be blind as well as depraved.