Bayh would certainly carry Indiana because in America, we still do elect people and not parties.
Actually this is only partially true - it is the case in some states but not all. Indiana is a good example of a state that could vote for a personality - for example a DINO - in spite of being a very strong GOP state.
However the South will no longer vote for a Democrat for president due to religion and racism - the Democrats are perceived as favoring the blacks and and not obeying christian rule. Conversely, the Northeast will not vote GOP, regardless of the individual running for fear of further empowering the religious fanatics.
In order to break this tendency - the party based power-grab on the part of the South and countervailing voting-for-personal-freedoms tendency of the Coasts - would require an extremely conservative Democrat running against an extremely liberal Republican - say Zell Miller running against Lincoln Chaffee - and nothing like that would ever get through the primaries.
No, the only states that still vote on 'personality' are a few in the Midwest.