Anti-Zionism dates back to 1890 way before the illegal inception of Israel into Palestinian lands.
It began with the ultra-Orthodox community which makes up 12% of the Israeli population. Many of them were living in pre-1948 Palestine before the inception of Israel that same year.
The anti-Zionism movement has come a long way and to the disadvantage of Israel it is gaining more followers who have one major thing in common: To show to the rest of the world that Zionism is not Judaism.