I don't think we're crying wolf.
Part of the game played here by the people that hate Jews is to attack the meaning of this word and they are being successful at it. Distortion of words and language is part of the tool set used by the anti-Israel camp here. The anti-Israel camp, which is also (broadly) antisemitic, is intentionally fueling antisemitism while pushing the argument that it's not antisemitism because it's really anti-Zionism or anti-Israel.
For countries like Iran and Qatar Israel should not exist because it's Jewish and Jews should not live in the Middle East because it's Muslim land. In their eyes there is no confusion that these are all the same thing. Only in those eyes of said "moderate" people.
No that's complete nonsense. In today's era actual antisemites won't need guesswork to locate, they'd openly vomit out a salad of zog, greedy bastards, traitors, that 109 country bs, holocaust denialism, etc etc. AIPAC for example has made the calculation that accusing moderate non-racists of antisemitism is much more effective than doing anything about actual hardcore antisemites whom they ignore. Actions like this are the reason words like ZOG are slowly becoming used in the mainstream. The accusation of antisemitism is losing all meaning.
Arabic countries didn't have much trouble coexisting with native jews. You might be overlooking the minor point of shipping Europeans en-masse into a place and displacing people who lived there before natively.