In this specific case isreal asked residents of Gaza city, a subpart of the Gaza strip to move to a more southern position in the Gaza strip. Like asking people to move from Manhattan to Brooklyn because they are going to blow up Manhattan. People are capable of moving within the Gaza strip. That doesn’t mean there will be housing for them however.
Since when is everyone in the middle east “brown”. Depending on where in the middle east you are you can find a lot of white passing people. If Jesus existed then he would have been born in the levant. Most people there (not exactly everyone however) are white passing. Here is a school in Lebanon for reference