Sure, that doesn't matter really. The point of the meme is that the left supports Hamas because Israel is the evil white empire oppressing them, when typically jews are used to interfacing with the left as non-whites. Hence the leftist halting the switch back to "I'm not white I'm jewish".

Normally jews switch back and forth between being white or being non-white, depending on if they want to appeal to the left or right wing, but in this situation the leftists have firmly decided that the jews are white and Hamas is brown, and therefore Hamas are the good guys and Israel is evil.