I am not a doctor and don't play one on TV, but I think antibiotics are somewhat unique in that their pharmaceutical properties aren't intended for you, but rather for the bug you've got.
But either way, if I'm right, the main problem is not the effect from antibiotics delivered in the carcass, but from the antibiotic resistant disease organisms bred in the feedlot environment. Nietsche may have been thinking of antibiotic resistance when he reportedly wrote "what does not kill me, makes me stronger."
It seems like a collective crime against humanity, but there may be a bright side. I have a vague suspicion that routine use of antibiotics may be part of the reason for a rise in auto-immune / allergy disorders, so ... if antibiotics become useless thanks to the meat industry, maybe in a few generations more people will grow up with their intestinal flora intact and we'll see if that matters.