If you speak to farmers or others in the meat industry you will find plenty of strong denial about antibiotics in farming being a risk. You will find all the usual arguments: it's impossible for bacteria in animals to ever affect humans, they use different kinds of antibiotics, we will find newer antibiotics to solve the problem Once And For All etc etc.

For the most part the lack of widespread public denial is because the public are not talking about this issue so there is little need to modify public opinion. There hasn't been any serious attempt to limit the use of antibiotics in industrial farming in the USA yet[1]. If governments do get serious about that then the denier dollars will start flowing and Heartland and Cato will find shills to write articles about how the economic cost of stopping antibiotic use (here is where they claim it is a total ban when it isn't) in farming outweighs the cost of global pandemics because the people that die will mostly be the economically unproductive old and poor or some similar FUD.

[1] http://www.motherjones.com/tom-philpott/2012/04/fda-factory-...