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I believe that is, as with the general public, the level of understanding about Islam is abysmally low.
As for Israel, the criticism is inevitable because Judenhaas is a firmly established meme and again there is as shocking and in some cases a firmly established dislike at what is seen to be unfair treatment of a group of innocent people who have had their homes stolen from them.
In mathematics there is a function commonly referred to as a catastrophe curve and is part of Bifurcation Theory.
In essence it describes hysteresis.
To cause unbiased people to change the set of ideas they have to another needs them to reject what they believed to be true to a considerable extent before they will even consider an alternative.
Sorry about resorting to maths to attempt to describe this but I find it easier that using English and less prone to errors in expressing concepts.
(It really pissed my wife off whenever I did it in the past but now I've learned!)
Never mind. Check out my signature!
The above seems to describe your dilemna entirely!