They will, but not because they will lose customers over this.
They will go out of business because they will spend time and effort pushing dubious promotions like this instead of sticking to their knitting.
Lots of lefty non-locals will show up in the next couple of weeks to show their support, the proprietors will take the new business for granted, and will spend money and make plans around their temporary windfall, and then the very short-lived boom will be over and they will be overextended.
Plenty of people will go out of their way once to make a political point. Once.
bump
Have to wonder if the neo-pagan-vegan left would even EAT vanilla ice cream (a dairy, ovo product).
Then again, maybe if they are smashing some eggs in the mix, the moonbat infaticide agenda side takes over and they eat it (and hate themselves afterwards, damn those 5 pounds...).