He is a bass player, composer, arranger and record producer who has played alongside Colonel Bruce Hampton, Earl Klugh, Stewart Copeland, John Popper, and Derek Trucks.

[5] One of Moore's first teachers was Rusty Holloway, an instructor at the University of Tennessee, Knoxville, who himself had played with Woody Herman and Dizzy Gillespie, among others.

In 1996, Moore released his first solo album, Never Never Land, which he financed, arranged, and produced—at the time, an unusual move for a jazz musician.

[4] That year, Moore was nominated for a Premier Player award by the Memphis Chapter of the National Academy of Recording Arts and Sciences.

As part of Hampton's band, Moore had the opportunity to play with a variety of accomplished guest musicians, including Warren Haynes, John Popper, Derek Trucks, Vassar Clements, and Buddy Miles.

[3] Moore has maintained an active recording and touring schedule and played through the rest of the decade alongside a number of eminent musicians, including Stewart Copeland, Earl Klugh, Bob James, and Chris Duarte.

In 2014/2015 he formed The RockTronix releasing a CD and DVD Documentary Movie titled, "Magnificent Obsession" on Blue Canoe Records.

In 2022, Joseph signed a contract with Cirque Du Soleil as a "Full-Time Artist" for the residency show “Mystère” located at the Treasure Island Casino in Las Vegas.