I had a real problem with this growing up and as a young adult. It made me too inflexible in my dealings with others. I'm a lot older now--early 60s, and still have the problem, but have learned to overlook the looseness about the sense of right and wrong in others, on minor issues. I don't feel you can or should accept true wrongness on major stuff, because that can result in harm to others, and in a breakdown in the overall morality of society. This will only lead to even worse harm to others, so I still won't compromise on the big stuff.
Part of what helped me to accept some variation of minor right and wrong stuff in others was when I was finally able to accept that we are all different, and that nobody's perfect, and nobody can really attain perfection, but that this doesn't mean you need to have a fit about it.
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If a man does not keep pace with his companions, perhaps it is because he hears a different drummer.
Let him step to the music which he hears, however measured, or far away.--Henry David Thoreau