To his credit, Jones did not attempt to re-create The Clash's sound in BAD, but instead pushed ahead with a dance and reggae influenced post-punk sound. While Big Audio Dynamite was somewhat inconsistent during their career, they were also interesting and adventurous.
The first single from the first Big Audio Dynamite album (This is Big Audio Dynamite) was "The Bottom Line." While it was not a hit, the song did generate some airplay, and showed the direction that Jones was moving in. I'm not totally sure if the nearly one and a half minute introduction is courageous or just indulgent, but it is quite a way to introduce your second band to its audience.
The video captures the irreverence and sense of humor of the band, as well (although I don't remember seeing much of it on MTV at the time). It also underscored just how much Mick Jones was into cowboy movies.
BAD would go on to have some success during the 1980's and 1990's, before breaking up in 1997. Jones remains active in music to the present day.