Isn't that the whole point of the social contract? People agree not to take the law into their own hands in exchange for the guarantee that society will protect

Isn't that the whole point of the social contract? People agree not to take the law into their own hands in exchange for the guarantee that society will protect and benefit them. If society is failing to protect and benefit people then the social contract has already been broken. Stated another way, society's end of the social contract is to make sure that people generally aren't upset enough to commit murder.