No it wouldn't - There is a large percentage of population joining Nazi parties for convenience, for their career or even out of fear. Are you going to deny them the food you sell from your shop? If they are Nazi's, are they still not human beings deserving to access food in the market?
Does someone being a member of the Nazi party mean we can let them starve to death? Shoot them and push them into a trench even?
The moment you dehumanise vast swathes of the population, you've already lost and dropped to the level of "Nazi's". It's not wise to let your enemies turn you into them.