Why would they want or need to? Their trade and indeed their whole economy was dependent upon Britain. There also wasn't the emerging economic and political elite in Bermuda, such as existed in the 13 Colonies, who saw personal advantage in separation from Britain. Without the political self-interest of the "Founding Fathers" guiding the politically and economically active American people towards independence, would most Americans have participated in the American revolution? It took a considerable effort in propaganda to create an atmosphere in the 13 Colonies that was favourable to the idea of Independence. Even then there was a considerable minority of Tories who still opposed separation from the UK. As far as Bermuda was concerned, of what advantage would it be to them to rebel? Even if they had, they would have far too vulnerable to Naval blockade, and, of course, vulnerable to being snapped up by Spain or France.