This is a mildly loaded question. Although not as loaded as some on the Zionist left would like to admit.
Generally the Zionist left, and even the Zionist centre and some of the Zionist right (officially at least), don't see the term "Jewish state" as necessitating preference for Jews. It's more incidental. The state is Jewish because Jews live there and are currently constitute a majority. Of course, maintaining that majority requires giving preferences to Jews when it comes to immigration but some would shrug that off as a means to an end or...something.
Forgive me if I'm misunderstanding you, but that sounds inherently contradictory. "We're giving preference to Jews, in order to maintain a state that just coincidentally happens to be majority-Jewish, and doesn't give preference to Jews at all."
Anyway, I'm fine with a state that happens to be majority Jewish, but they shouldn't try to maintain that by restricting immigration. And before anyone accuses me of being a self-loathing Jew, I fell the same way about other ethnicity-based states.
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