"...provided, however, that private property owners 89 or persons in legal control of private property through a lease, rental agreement, licensing 90 agreement, contract, or any other agreement to control access to such private property shall 91 have the right to forbid exclude or eject a person who is in possession of a weapon or long 92 gun on their private property in accordance with paragraph (3) of subsection (b) of Code 93 Section 16-7-21, except as provided in Code Section 16-11-135"
All the new law did in relation to bars was simply make it so that you can no longer be charged for a crime for carrying a weapon in these places. The owner or person in legal control of the premises still has the absolute right to prevent you from entering their premises with a gun.
This is why the media is so good at swaying people's opinions. They get you all riled up by creating these false dilemmas and most people don't bother to actually go read the text of the laws and try to interpret their meaning.