No, some Reps support it too, but in the majority they believe each business should choose for itself. It's the Dems that really are pushing for it, as a ban on society.
And I am a non-smoker. I hate that people smoke around me. But if I support taking away their right to smoke because it's unhealthy for me, what is next? Maybe we should take away guns because there have been killings? Or maybe we should take away bars, because some people drink and drive after going out.
If one starts taking away some rights...it's just going to have a domino effect.