It appears that the bad blood between Rector and Hindman did not develop until after secession?
By 1860, Hindman had established himself as an independent political force in the state and helped secure the election of Henry M. Rector over the Family candidate, Richard H. Johnson, brother of Senator Robert Ward Johnson and editor of the True Democrat, in the race for governor. http://www.encyclopediaofarkansas.net/encyclopedia/entry-detail.aspx?entryID=1672