How is anti-Zionist not anti-Semitic?

Zionism is the belief that Jews deserve a homeland of our own. If you are against Zionism, you are basically saying we don’t deserve to have a country of our own. Englishmen have England, Chinese have China, Ethiopians have Ethiopia and so on, but we can’t? If leftists say that Israel belongs to Palestinians, then why don’t Europeans leave America, Turks leave Anatolia, Arabs go back to Arabian Peninsula etc? Plus we have deep roots in Israel going back thousands of years