Re: Internal strength in bowling, fencing, golf, etc.
They look at each other and say "We never heard of that.... what are you, a trouble-maker?" They tell you that they don't like your style of talking. At that point, are you being rude/arrogant or are they being rude/arrogant?
I'd say it is entirely possible that they are being mis-informed and/or defensive and you are being self-righteous. Of the two of those I'm not entirely sure which one I would rather be all things considered. It's not a pretty situation to be in.