For several months, Nikki Fried, the state chair of the Florida Democratic Party has been trying to persuade her party to let independents vote in Democratic primaries. Under a 1986 U.S. Supreme Court decision, Tashjian v Republican Party of Connecticut, every party with its own government-administered primary is free to tell the state that the party wants independents to vote in its primaries.
This lengthy article covers the conversation inside the Florida Democratic Party. Many powerful party leaders are fiercely against the idea, which is surprising, because so many other state Democratic Parties (in states in which the party is weaker than the Republican Party)have invited independents to vote in Democratic primaries. Among the states with primaries that are closed (unless the party exercises its Tashjian rights), and in which the Democratic Party is obviously weaker than the Republican Party, he only Democratic Parties that have never invited independents into Democratic primaries are Florida and Kentucky.