the problem is both sides are so caught up in their own identity politics that they can't see the other's perspective. the same goes for right-wing and left-wing in America.
The bigger problem is that people from societies with FPTP voting systems often tend to think binary. The world is more multi-faceted than that, it's not always two sides to a coin, good vs bad, left vs. right, etc.
If the idea that seeing what the effects of the weapons sales and military operations done in your name by your representatives might be too much influence on me, a voter, then I give up. There's just no reasoning with other americans about anything. Have your country.
There are certain keywords people use that are instant red flags. They usually mean I can immediately ignore everything they've written. "Common sense" has become a big one. It's code for "my feelings trump your facts" (pun intended).
But another one is "both sides". There are a number of reasons people fall back to this. Usually it's intellectual laziness, not wanting to know any of the details, usually because it's an issue that the person saying it doesn't actually care about the issue. Some people derive validation from somehow being "above the fray" on some partisan issue.
Another reason is simply not caring about the issue and trying to create a moral equivalence is intentionally or unintentionally used to silence a particular topic.
Not everything is some disagreement between equivalent positions. Sometimes, a given position is just plain wrong. Slavery, genocide, apartheid, ethnic cleansing. These are issues historically that have a right side and a wrong side.
On Gaza, there is the side that wants to live, not be bombed and not exist in an apartheid state and there's the side that wants to ethnically cleanse millions of people to create lebensraum. Merely going to Israel has been a radicalizing experience for a lot of people because they instantly recognize what's going on. There are countless examples of this now. I'll choose just one as an example: Sde Temain [1].
Almost no one is pro genocide, so why is it happening when most countries are more or less democracies? One theory is that the media and politician change the narrative whichever way it suits them. And imo one way to combat this is with polite measured conversations. As the alternative is easily distorted by the opposite side.