I think you meant the Tango Blast gang which are a prison/street gang. Barrio Azteca is mainly a prison gang just with a large street presence (similar to Nuestra Familia/La Eme in Cali & BGF in Maryland)and the rest your right.
I remember reading or watching somewhere that the Barrio Azteca is in fact a sort of enforcement for the Juarez cartel, like the Los Zetas for the Tijuana cartel. I think it was in the Gangland episode, although I don't know how reliable it is.