You have a constitutional right to open carry a handgun in Ohio. However, you had better understand the law and not carry in prohibited areas (such as places with a class D liquor license, schools, government buildings, etc).
In addition, there are veryfew open carriers in Ohio and you should expect to be stopped by the police from time to time (when alarmed citizens call the policeabout the Man With A Gun (you).If (and when) stopped by the police, act professionally and politely. They don't have the right to arrest you for simply legally carrying a gun. However, as you've already ascertained,many police don't know the law about open-carrying and they may not act as they should. There have been instances of police arresting open carriers in Ohio and confiscating their gun.If that happens, the police will be in the wrong, but it will probably still cost you some money (for an attorney) to straighten it all out; get your gun back;and to sue the police/city if you so desire.