Do Israelis have any visitors on Christmas?
Most Israelis are Jewish or Muslims and therefore, Christmas is just another day of the week for them. Christian Israelis (>1% of Israelis) celebrate Christmas with their families, quite like the USA or Europe.
Most Israelis do not celebrate Christmas as they are either Jews or Muslims. As a result, there is no real Israeli gift-giving tradition on Christmas. The small minority of Christian Israelis (<1% of Israel) give presents to their children in much the same way as Americans or Britons perform similar gift-giving.