There is virtually no moral judgment that every person will agree on. So what? Just because morality is ultimately subjective, society should completely avoid making any kind of judgments regarding it? Frankly I don't care that every person, including those committing terrible acts, view themselves as morally correct. I have my own values that I obviously believe are superior, and I will make an effort to impose them on society. I assume that everyone else is doing the same thing. I hope that the "best" views will become the most common.
That said however, you are missing a lot of nuances imo if you think that this form of "every man for himself" is how the west currently operates.