Bigotry is still active, just different groups. Racism is definitely still active, just different groups (look up stats on violence against Asians or their chances of getting into the Ivy Leagues). Human nature is so strong, I admire and doubt your optimism.
Sexism being actively obsolete in 20 years is possible and would be a good start.
Yes, I know they are still active, that's kind of the point I was making. I'm saying if things go as they look to be, then hopefully they won't be in 20 or so years. If they are just as active as they are now, or even more so, then hopefully asteroid 2044 takes care of the planet once and for all.
The traits you describe are as old as the human race itself, and even with the vast knowledge we now possess, they're still endemic to the human experience. They're built into our DNA.