Ah, and there it is, laid bare - the need for validation; seeking any morsel by which you might feel vindicated. "You said I was not presenting facts, but look! These particular things I said were factual! Therefore you're a fool and I am right! Haha! I am CORRECT and nobody can contradict me!" Perhaps this need stems from a lack of validation at work, or maybe in your home life. Perhaps your need to "prove" someone else wrong is a result of an uncomfortable relationship with your parents as a child - who knows! Whatever its root, the fear you have is that of death: the death of that part of the ego which is "right". If you don't receive your validation, then this segment of your ego must continue to fight, and to fight as if it were for your very survival!
Nonetheless, this quest is vanity; the only route to contentment lies within, and true peace cannot be obtained through any form of external validation. Any validation so received will be aught but a mere flash of dopamine, too like the lightning, which doth cease to be ere one can say, "it lightens". If the calming of that inner voice of anger is what you seek, you must find such contentment from within yourself, through acceptance of what /is/, letting go of the rage against external reality. But I digress; this is not the issue at hand. As you rightly point out (oops - don't take that as validation, it wouldn't be good for you in the long run!), I should be getting to the point, so I shall.
Whatever the cause of your need to feel validated as a person, you seek to deflect from the actual issue here, which is that you have the opinion that something is offensive, and others have the opinion that it is not; contrasting with this reality, you seem to believe that you are presenting a fundamental truth or verifiable fact. Herein lies the contradiction that keeps you coming back in vain. You now have two choices: continue to argue in vain against the reality that people have different opinions on this issue and that yours is not definitive, or accept that it's okay to disagree about things. It's okay to let go: it won't make you "wrong", and the death will not be a real death. You need not continue to fear it.