No, it was racist—with the implication that having a child fathered by a black man is just a step above a child of beastiality.
“From what I can remember about that party...”
The implication is that she was so drugged/drunk that she had no idea what she was doing, which was the point of the “bark” comment. In other words, there was no deep “why” to his question about his “blackness”, it was just something random.
The joke wasn’t racist, unless being nasty about Obamalini’s mother is now to be deemed racist.
Racist or not, a Federal Judge not having the sense to know what goes on the web, stays on the web (unless your name is obama) has no business on the bench.