They support this with a very narrow vision.
Just because their hatred of people who smoke and of the act of smoking, they support this 110% . Without realizing the implications of what one act of banning smoking will do between the private business owner and the government. By banning the business owner from allowing one act, this allows the government to get their foot in the door and more banning "acts" can follow.
How many would support state run restaurants and bars/taverns? I don't think I would!
Also, by allowing the government to "run" a private business owners business, this will open the door to the government coming into our "private" property...........to which they all ready are.........homes and cars.