The ideological signifying here, though, is squarely situated within the language of American politics. All Lives Matter was a reactionary counter to Black Lives Matter, a distinctly American political movement. Similarly, "both sides suck" is something which has been repeated ad nauseam about American politics. As such, the meme suggests itself that it's about American politics. At least that's how I'm reading it. If the OP meant it to be about Israel and Palestine, I think they could have framed it better.
Palestine itself is a two party system. Hamas vs Fatah, the former controls the Gaza Strip, the latter controls the West Bank (specifically the areas not occupied by Israel)