Flawed argument but here
I am probably a lot luckier than you in that I live in a country that supports 'multiculturalism' and I likely didn't face the same racist bigotry you did
but I remember a time when I didn't have a concept of race. I had friends who looked different from me: cantonese, mandarin, philippino, jamaican, hungarian. But I had no concept of race and saw them as identical to me outside out maybe their family, the food they ate and other small things.
If you can recall ever having such an experience then you can at least somewhat see how I would argue that racism is a learned thing, based on a system of categorization and simply adhering to it is racist in a way.
a google definition for racism is:
the belief that all members of each race possess characteristics or abilities specific to that race, especially so as to distinguish it as inferior or superior to another race or races
I think both are racist, the first part and second. The latter is just more antisocial. (neanderthal anyone?)