Not really, there are quite a few of them, but baseball doesn’t really seem to be dominated by any one race.
Most teams even have Asian players. My Tigers don’t have any Asian players on the active roster but manager Brad Ausmus is Jewish along with Ian Kinsler.
It has become more global. Players from Latin America have been dominant for decades. Now, players from Asia are making an impact. African Americans AND whites are being edged out. It’s based on if you can play or not.