racism is where someone says they are all like this or that

You can say this as often as you like, it doesn't make it true. Racism is believing that people from different cultural/ethnic groups are fundamentally different & should be treated differently. Racism is saying "they're perfectly nice people, I just wouldn't want one of them living next door". Racism is saying "we belong here, they belong over there". These are definitions which match your beliefs to a T.