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?
No. First of all, the Palestinian population has grown substantially since 1967. That alone is sufficient to disprove the genocide accusation. Second, blaming Israel for the plight of the Palestinian people ignores the fact that they have been governed by corrupt terrorist leaders who have done nothing to improve the lives of the people they govern because they have been single-mindedly focused on destroying Israel. Plus, it's pretty damn disrespectful to treat the Palestinian people as if they have no agency whatsoever and are just destined to be radicalized because of external forces.