The career prosecutor pulled off an upset on Tuesday but was largely left out of media coverage before the election.
Jones made a name for himself after convicting two Klu Klux Klan members for their involvement in a 1963 church bombing.
Voter ID laws may have been a barrier for some people to cast votes in Alabama's special election.
Alabama's close Senate race could come down to how the state's African-American population votes.
The GOP target of cutting the current 35 percent corporate tax rate might actually end up being slightly higher than the planned 20 percent.