No. I make small jokes sometimes, and I never take it too far. I make gay jokes as well, and I'm gay myself, so small jokes have little to do with personal prejudices. I never consciously think less of anyone because of their race.
I have white privilege so I still contribute to it even though I try to treat people equally and get rid of all racist preconceptions that society instills in me
No I'm oversensitive about racial jokes even if it doesn't involve my race. Somebody tried making a casual racist joke about Asians the other day and I gave them a look