Is it more likely, you will end up with a brain drain. There are plenty of Lebanese and Palestinians living in the United States, who may be seeking a more liberal atmosphere; they could be joined by Israelis, who feel the same way. So, in addition to the brain drain, you will face issues of intermarriage and assimilation by part of the Jewish population.
First refugees travelling on Hungarian bus arrive at Austrian border (Reuters)
from the article: Give Israel's secular liberals their own state