Your thought process is so ass-backwards it's mind-boggling.

Israel gets invaded by barbaric terrorists who butcher 1200 people and take 250 more hostage. The next day another terrorist organization operating in a different country begins launching rockets into Israel in sympathy. Both those organizations are sponsored by a repressive radical Islamist regime that has openly stated its genocidal intention towards Israel and Jews. So Israel does what ANY other country would do - it fights back. And you turn around and say, "Fighting back makes them look brutal, racist and hateful. It's no wonder people hate them."

How do you not see how fucked up this is?