The U.S. didn't really back Israel (via funds and support) till after Israel had proven she could win wars against the Arabs. Based on that, yes, I think Israel would survive without the U.S. However, Israel would not have the power and protection of the U.S. to behave so arrogantly. Not to mention, but Israel is seeming to lose the Jewish youth in the U.S. (much less the world) and that would hurt even more.
Kerry meets Egyptian officials in bid to assuage concerns over Iran deal (AP)
from the article: Why are superfluous laws passed in Israel?