I think you're confusing the word "can" and "must". A Jew can become an Israeli citizen. The issue here is that many of these people are not choosing to be China's citizens and yet are considered such.
I said Isreal was "open to" certain people, which is an accurate description of the policy. Where citizenship suitability is at issue, such as an asylum claim or immigration/visa application, religious factors then come into play. I made no mention of Israel claiming control or forcing citizenship on anyone.