Yes, they would. But not ALL of them.
They have a choice: here or there= dual citizenship. The US didn't used to have dual citizenship but does now.
The concept of dual nationality means that a person is a national of two countries at the same time. ... U.S. law does not mention dual nationality or require a person to choose one nationality or another. A U.S. citizen may naturalize in a foreign state without any risk to his or her U.S. citizenship.
What does the dual citizenship do for a some one living here other than street cred? Dat Hebrew legit he gots his Israeli passport, type of thing? Seems more likely you could just end up getting inducted into the IDF because of infada random crap.