Check out the 2002 election results for all the statewide offices. Even the unpolpular governor won big.
Unless the National Democrat Party comes in and rebuilds the Ohio Democrat Party, a party that can't raise money or win statewide races, they will continue to be the party deeply in the minority as they have been since 1994.
Except when someone as loveable as Kerry runs I guess. We are talking about presidential elections here aren't we? I don't know what is in the water in Ohio, but Ohio has always had a very superior GOP organization since rocks cooled. Just ask McKinley. But these days, organization in presidential elections is of marginal benefit. Kerry made up his own organization in any event, and so will the DNC in every presidential election hence.