Agreed. If anything antibiotics and vaccines have completely opposite mechanisms of action.
An antibiotic taken as a medication kills bacteria directly, assisting the immune system and making its job easier. In the case of bleaching every surface in your house, it means that the immune system never sees the bacteria in the first place. The same is true of other external use of antibiotics (killing of bacteria before it gets into your body).
A vaccine provokes your immune response against a pathogen without exposing you to the risk of developing the disease (or a greatly reduced risk). Your immune system does all the work, and as a result it is able to do the job entirely on its own much more effectively at a later time.
Comparing the approaches, the disinfectant approach is like bleaching your house 3x/day, and the vaccine approach is like rolling around in the mud and not washing before dinner. I'd be very hesitant to associate the problems of the one with the other.