LOL, I remember the comment section on the youtube video of that commercial.
Comments such as "mudshark", "anti racist is the codeword for anti white", "race mixing propoganda", etc, were posted often.
And I'm certain those comments weren't coming from liberals.
And on some technical level the essence of your point is legit due to those people's existence.
But in reality, if you don't want to be considered a drinker, then don't hang out at the bar.
Consider why people would assume you to be the drinker before getting offended at those who make the assumptions.