Final answer:
The historical context provided references various political struggles between Democrats and Republicans, including the MFDP compromise in the 1960s, political parties' rights discussed by the Supreme Court.
Step-by-step explanation:
The parties involved with the Florida Consent Decree were, in historical context, the Democrats and the Republicans. The instances provided in the references are from different time periods and do not all explicitly discuss the Florida Consent Decree, which is commonly understood as a modern legal agreement regarding elections and voter disputes. Instead, they discuss various disputed elections and political strategies across different eras, specifically surrounding the Democratic and Republican parties' struggles over electoral votes and political influence.
The historical conflicts mentioned, such as the Mississippi Freedom Democratic Party's (MFDP) involvement in the 1960s civil rights movement, Supreme Court cases regarding political parties' rights in nomination methods, controversies during the 1876 Presidential election, as well as the 2000 Presidential election dispute in Florida, all showcase situations where political parties have been at odds regarding the electoral process or political representation. These events share in common the theme of political conflicts between Democrats and Republicans, though they do not refer to the same 'Florida Consent Decree' that might be mentioned in a contemporary legal or political discussion.