MIAMI — It took three trials, three juries and nearly three years, but federal prosecutors finally succeeded Tuesday in convicting five Miami men of plotting to start an anti-government insurrection by destroying Chicago’s Sears Tower and bombing FBI offices. One man was acquitted.

When the FBI swarmed the downtrodden Liberty City neighborhood to make the arrests in June 2006, the administration of President George W. Bush hailed the case as a prime example of the Justice Department’s post-Sept. 11 policy of disrupting potential terror plots in the earliest possible stages.

Yet hours of FBI recordings of terrorist talk contrasted with little concrete evidence of an evolving plot, triggering two mistrials because juries could not agree on verdicts against ringleader Narseal Batiste or five followers. One of the original seven defendants was acquitted after the first trial.

“Any cases that involve someone’s mental intent, their intention when they made certain statements, are always difficult,” said Matthew Orwig, former U.S. attorney in Texas who has monitored the Miami case. “It was a must-win for the government. They needed some vindication.”

Finally, this third jury found the way on its sixth day of deliberations.