The signs in Kentucky don't have the same force of law as do the ones in Texas.
The most a posted business can do in this state is ask you to leave (of course, that's if you're "made"). If you refuse, and the police get there, you may be subject to a charge of "criminal trespass".
For the best info (not that I don't like KC3...it just isn't "official") from a government agency, go to the folks who're responsible for the permits:
There's a spot on the left side of the home page for concealed deadly weapons, and I believe there's an FAQ, as well. Oh, and I live here in Louisville; work at the jail. If you're in the downtown area, I'll be working double shifts pretty much all next week. Feel free to PM, if you need anything.