Most the Zionist’s came from Eastern Europe and while Jewish by definition, were far from being highly pious Jews with an Orthodox view. In fact, many of the Orthodox Jews reject Zionism.
This isn’t my field of expertise (Zionism and the Jews), but in the mixed bag of nuts called Israel, you basically see an Eastern European and European influence, followed by our influence. It’s a “Jewish state” in so far that all Jews have a “right of return.”
https://en.wikipedia.org/wiki/Law_of_Return
Having been persecuted nearly everywhere they lived through the ages, Israel allows anyone that’s a Jew to come (flee).
But Israel’s policies and laws are more secular than anything else. The demographics is diverse. You have non Jews in government and positions of power. Christians and others can practice their religion there...
It’s NOT a theocracy as you stated which is often what is incorrectly insinuated when the term “Jewish state” is mentioned.
Israel is actually socially / economic / political quite liberal (In the modern leftist way).
They were opposed by the Socialist Bundists, who believed confining all the Jews to one state went against their goal of international Socialism.