You're talking about people having knee-jerk reactions to slogans like "destroy Israel" due to established powers. In this case, I don't think the established powers need to do anything to cause this knee-jerk reaction. It's quite automatic when somebody says something like "destroy <somebody's home>." The problem is that the slogan itself is not that it's incendiary, but misleadingly incendiary.

I even think it might be a Motte-and-Bailey -- it sounds obviously physically destructive, but when interrogated, proponents of the slogan retreat to "no, we just mean societal restructuring, in the abstract sense." I'll admit, I don't know if there's any way that one can defend against being accused of a Motte-and-Bailey, so I'll give you the benefit of the doubt.

My tinfoil hat theory is that the established powers seeded the phrase "destroy Israel." I think it's that self-defeating of a slogan.