Earlier quoted context omitted.
Criticizing the actions of any government is what it is, but many critics of Israel go so far as to say there should be no Jewish state, which in effect means the Jews should be a people without a homeland, forever vulnerable to extermination by the Gentiles they are forced to live amongst as an eternal minority. That alone is suspicious as it carries the shadow of antisemitism, but once you throw in explicit support…
Criticizing the entire idea of a theocracy, and that a religion should (of course) have a homeland to dominate, does not make you an antisemite, nor covered with antisemitism "shadow." More an antisemitism smear. Now, I am suspicious of the people who are irate about Israel as a Jewish state, but are all about the Dalai Lama. I don't see how that makes sense unless you have something against Jewish people.
Sure, a convert to Judaism is also a Jew. But Judaism is explicitly not a religion for everyone, it is only a religion for the Jews. So if you believe in Judaism but have no desire to be a Jew yourself, you can just follow the Noahide laws. Actually becoming a Jew entails an extra step beyond that, namely the intention to join the Jewish nation. So not even in the case of conversion can the Jewish nation be equivalent to Judaism.
In practice, Israel is also just as secular as any Western country. No theocracy to be found there. This is more than you can say for, say, England, which has a state-established church with the monarch at its head.