This is completely incorrect, nations that have halted agricultural mass application of antibiotics have seen a huge decrease in antibiotic resistant bacterial present in the animals.
This is because antibiotic resistance has a high biological cost to the bacteria, and they get out competed by bacteria without that adaptation when antibiotics cease being present.
The bugs are very easy to kill - when not in a person.
The bacteria are also less competitive, so all you have to do is stop using the antibiotics and you will make it less likely for them to survive in the hyper competitive farm waste.
As long as you stop making them the resistance will die off as "not worth it".