It's going to depend on what the state of Ohio says.
Before you start asking the state, I would hold off until you find out from other residents of your state.
IL is tough, but can be done.
Wisconsin, on the other hand, is possible only if the bike has a full, street legal title from another state. They look at the Certificate of Origin and it states right on it that the bike is for "off road use only". They won't budge...
Wait till some others from Ohio have something to say. It might not hurt to ask on the "general forum" either. Just ask if anyone from Ohio has succesfully converted a 2-stroke over to dual sport, legally.
Let us know how it turns out....