He was also a member of the San Francisco 49ers, Jacksonville Jaguars, Denver Broncos, and Dallas Cowboys Mincey was born in Statesboro, Georgia on December 14, 1983.

[1] After originally receiving a football scholarship offer from the University of Florida, Mincey couldn't be accepted because he was missing a core course.

Although he signed with Jacksonville State University, he ended up opting to enroll at Butler County Community College in El Dorado, Kansas, where he played from 2002 to 2003.

He was a special teams member of the field goal, extra point block and punt return units.

As a senior team captain in 2005, he started 12 games at left defensive end and earned second-team All-Southeastern Conference (SEC) honors.

Mincey was selected by the New England Patriots in the sixth round (191st pick overall) of the 2006 NFL draft, with the intention of converting him into an outside linebacker.

[8] On December 14, 2006, Mincey was signed by the Jacksonville Jaguars off the San Francisco 49ers' practice squad, to play as a defensive end.

On November 9, he was signed to the active roster and got a chance to play in six regular season games and two playoff contests.

He appeared in 15 games and started the last 8 contests at left defensive end over former first-round draft choice Derrick Harvey.

On December 16, 2013, he was signed as a free agent by the Denver Broncos, reuniting him with former Jaguars head coach Jack Del Rio, who was the team's defensive coordinator.

On March 11, 2014, he signed with the Dallas Cowboys as a free agent, who were looking to improve their defensive depth after being forced to release DeMarcus Ware for salary cap reasons.

[15] He quickly developed into one of the Cowboys leaders and was named a team captain after Justin Durant was lost for the season.

He led the team with 6 sacks and 39 quarterback pressures, after starting every game and keeping second round draft choice DeMarcus Lawrence in a reserve role.

His playing time and effectiveness decreased during the year, after he was limited by bone spurs in his right elbow, which eventually required offseason surgery.