Question/Claim:
Are they against the existence of an Israeli state or are they against any state that oppresses them in that manner?

It's not complicated to understand why they retaliate.

Answer:
Well then, it seems you should go back in time and check your assumption against older backdrops.

Last I checked Arab attempts (and successes) to wipe out Jewish communities existed long before any "Israeli oppressor".

In fact, the Quran is quite unkind to the Jewish people and this has indeed been embodied in past times when the Jews under Islamic rule were treated as second class dhimmies and every couple centuries an Arab leader would permit the Jews to be stripped of their property and to have a number of them killed in the names of the Islamic prophet.

Have you ever taken the time to study Islam and Jews under Islam?

common themes are:

a) "descendants of apes and pigs", - some reading material about it [link]
b) "those who betrayed Muhammad",
c) Judgment day will come when the trees will call out to the Muslim "oh Muslim there is a Jews behind me come and cut his head off" - some reading material [link]
d) Another common theme, loosely based on the Quranic interpretations of the Mecca/Yathrib agreements is the Holocaust projection, with Jews blamed for fabricating the holocaust "myth" and also for creating the real Holocaust in "Palestine".

A couple video samples:
* In Sudan (National TV): [link]
* In Lebanon (Shia+Hezbollah TV): [link]
* In the UAE (National TV): [link] - the guy couldn't finish the terror condemnation without a bit of Quran based antisemitism and anti-christian hatespeech.

* A sample historical event from 1830s (watered down version) - [link]
* Another sample from 1580s (watered down version) - [link] - scroll down to "Construction (1700s)".

Against 4 sons the Haggadah spoke:
One who is wise, one who is wicked, one who is simple, and one who does not know to ask... how would you describe the person asking the question?

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