I have been involved in the researching of a Confederate Camp and the efforts of the Confederates to defend the Lower Arkansas River Valley 1862-'63. In one Regiment (24th Texas Cavalry dis) there were Native American Indians and Texas Cowboys fight side by side along with Hispanic Americans, Mexican national citizen, free African Americans, slaves and even a Chinese National citizen.
I would say that was a pretty intergrated unit. So this ideas that the Confederate fighting units were all made up of only bigoted white men is hogwash.