(I follow the Middle East conflict a bit, because it is informative to compare my Swedish media with BBC/NY Times. News items such as Pallywood or torture between Palestinian groups are literally censored.)
The basic reason I started to care a bit is because I find it depressing when people hate and demonize a whole democracy with very heterogeneous political life.
Especially if said people never criticise neither rocket artillery against cities nor the glorifying of bombing/shooting children at close range. (No, it is not the Israeli side that do that.)
I have also never seen any criticism from these people of the Arab world's way of destroying the Palestinian refugees' lives, by refusing to integrate them. This is arguably worse than anything Israel has done, even in your description of Israel.
And to start talking about organised Jewish propaganda controlling a country's media is straight up disgusting. It smacks of the muslim world's copying of traditional anti semitic hate propaganda.
Then we have the muslim world's support of the mass murders in south Sudan, which in number of dead etc must be a thousand times worse than even your description of Israel. Talk about astronomical double standards for different groups...
I could continue for a while, but this won't change your opinions. You "know" that it is OK to ignore racist hate propaganda etc etc, since it is done against the evil ones.