I think, regime change is a legitimate goal for Israel, and the mingling of combatants with civilians is the challenge for them, and both tasks can be acheived with a ground invasion, while aerial bombardment only strengthens Hamas and the civilian resolve.
US, and by extension Israel have boxed themselves in by deifying democracy. The result was legitimately elected Hamas. Parenthetically, we nearly avoided a democratically elected anti-American government in Iraq and got one in Iran.
Your hyperbole is revealing.