The statement was made in a letter organized by Lehava, an organization aimed at what it calls "saving the daughters of Israel" from assimilation. The group runs a shelter for Jewish women who have left their Arab partners and is calling for a boycott of a supermarket in Gush Etzion that employs Arab men and Jewish women.
And to avoid such a danger, they are telling them "Don't date non-Jews, don't work in places where there are non-Jews, and don't perform national service together with non-Jews". Why, you ask? Because "As soon as you're in their hands, in their village, under their control, everything changes." These sneaky Arabs may even try to disguise themselves as Jews! "In some of the places where Jewish girls might work, like supermarkets or hospitals, 'there are no few Arab workers who use a Hebrew name,' it [the letter] states. 'Yusuf turns into Yossi, Samir turns into Sami and Abed turns into Ami.'"
This is a totalitarian level of paranoia. Fortunately, the ladies who wrote this are on the fringes of Israeli society. A country in which this kind of talk is taken seriously could never be a free one. And it's not like they are talking about some serious epidemic of Jewish girls being whisked away by Arab men. According to the article in Ha'aretz, a paper not exactly known for its liberalism,
A protest in Bat Yam this month previously coupled the real estate issue with warnings that Jewish women should stay away from Arab men, though no convincing evidence was provided to indicate that such a phenomenon exists on a broad scale or that an increasing number of Jews are dating Arabs.
The letter also warns, "Your grandmothers never dreamed or prayed that one of their descendants would commit an act that would remove future generations of her family from the Jewish people". So remember girls, keep your race pure!