Is the agenda of our government killing all Palestinians? No, it is not. Unlike Hamas, we do not wish to kill anyone, we only respond when a response is needed. If Mexico would shoot rockets daily into U.S. land I have no doubt what the army would do in response.
This is a never ending cycle, Israel tried to break the chain by giving the Palestinians parts of the land and evacuating 5000 of it's own civilians, but instead what the Hamas has done is burn the Temple, re-arm itself over the months, attempted to kidnap a soldier (Israel raided a tunnel in the Palestinian side that was planned to be used - I myself have been in that operation) and shoot rockets from that land - which is an irony since now they reach even further into Israel territory. Would you, as a leader, accept that a terrorist organization shoots rockets into one of your cities with population over 100,000? No.