And "the west" isn't really homogenous for these purposes. Most western countries don't have a school shootings problem, only the USA does. The parts of the west most heavily criticising Israel are not the USA, it's places like Spain and Ireland (both of which have interesting historical parallels!) I think the USA has a higher birth rate than the EU, so maybe you'd prefer them on that basis, but then you don't want school shootings, so maybe you prefer the EU. You can probably find a reason to dislike everyone if that's what you want to do.
In the most charitable interpretation, the filmmakers chose to make this film as Western liberals trying to influence the Israeli government to adopt more Western liberal values
That's hardly the most charitable interpretation! Maybe they're trying to influence Israeli citizens, or maybe they're trying to influence Zionists abroad? There's no need to assume some insidious outsider conspiracy.
Surely people are allowed to disagree non-violently with their current government! If that's the kind of "foreign ideology" that you're dismissing out of hand, well, that certainly clarifies things.