Assumptions are an interesting topic.. We live our lives based on assumptions.  We assume the food we buy is not poisoned.  We assume when our light is "green", the cross traffics' is "red".....the list goes one and on.  Without assumptions we'd be helpless and unable to function.  And yes, when someone flys the Confederate Flag, I assume they realize it's a symbol of racism and are, therefore, supporting racism.  

Let's use an interesting "flip-side" case for illustration.  You remember Professor Nancy Shurtz and the "blackface" incident.  She failed to recognize that "blackface" is a racial insult and, thereby, made the assumption that wearing it to honor Dr. Tweedy was not a problem.  She certainly found out different.  I personally feel she was naive and clueless and meant no harm.  If I see a pick-up driving around flying the Confederate flag, I would not be so generous.  Those who fly it, especially in such a fashion, virtually w/o exception know what they're doing.....Gary