The commonly accepted - but rather tenuous - criterion for distinguishing between language and dialect is speakers of different dialects being mutually intelligible to each other when making the effort.
That can be said for Scouse, Southern American, Geordie, Cockney and Hiberno‐English, even though understanding speakers of those dialects talking among each other often is difficult for an outsider.
Unlike these varieties, AAVE technically isn't a dialect but a an ethnolect and sociolect, so race definitely is a factor here. Maybe, AAVE can some day become a generally accepted dialect that's not dependent on speaker ethnicity. However, I think it's more likely that AAVE influences other - considered more standard - varieties of English. In fact that's likely already happening to some extent through culture, music in particular, and of course people just talking to each other and taking up linguistic quirks and habits from each other.