A bar or restaurant is not "private" if it is open to the public. At that point the establishment owner made a choice. They can remain private and limit their clientele or they could go public and open their establishment to everyone. That was a choice that they made.
And, like the other guy, your analogy about the music is horrible. It is based on the assumption that different establishments have different rules. But in reality, in states where smoking is allowed in public venues, ALL establishments allow smoking because they don't want to drive away their smoking customers, regardless of the impact that smoking has on the rights of non-smokers. Your analogy assumes there is another option. If you allow topless waitresses and play rock music all day or techno and I don't like that, then I can go somewhere else. In the case of smoking, there is no other option and that is where the analogy goes awry.
What we've discovered in the Northeast (because we had this discussion already) is that ALL establishments who cater to the public are on an equal footing now and no one has lost any business. The smokers don't really give a shit if they have to go outside to smoke. Nor do they mind waiting till their meal is done and they have exited the establishment.
All the people here who are arguing against this type of legislation are basing it on "property rights" while completely ignoring the rights of the majority of the population. If you want a "private" establishment, then feel free to create one. It works well in Massachusetts. The VFW and other "private" establishments are free to allow smoking if they so choose, and they do. But, as soon as they cater to the general public, they have to play by different rules - and that is a choice that they make.