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I will mention Aqib Talib because he is one of the top corners available, but Joe Philbin and Jeff Ireland have zero interest in him because of his checkered past.
Talib was suspended for four games in 2012 for violating the league's policy on performance-enhancing drugs but his poor conduct in the NFL began immediately after being drafted 20th overall by the Tampa Bay Buccaneers in 2008.
During the rookie symposium, Talib engaged in a physical altercation with teammate Cory Boyd.
During August 2009, Talib was charged with resisting arrest and battery after allegedly beating up a taxi driver. The prosecution settled for a pre-trial program after Talib made an undisclosed payment to the victim of his physical attack.
In March 2011, Talib was charged with aggravated assault with a deadly weapon, as he was accused of firing a gun with the intent of harming his sister's boyfriend. The charges were later dropped because of the credibility of the victim.
Talib is the antithesis of the type of player the Miami Dolphins want on their roster.