Some years back I applied for a state job in IL. I went to the personnel center to pick up some papers and noted that there were no other white males there. If this had been on the south side of Chicago it might have been different, but this was in Champaign/Urbana. Being a college town of about 150,000 or so, it's not lily-white, but there was no way that that race distribution would have resulted from competence-based hiring.
Now CLog notes the massive discrimination in hiring at the EEOC and Department of Education.
It might well be that blacks are disproportionately qualified for education jobs in that for years teaching was one of the few professions open to them. But those days are long past, and I find it difficult to believe that residual effects could result in what we observe.