I mean, I'm not restricting definitions, you are. You're saying the #1 and #3 definitions don't count without #2. If that were the case, #2 would be the only one. But it's not.
rac·ism [rey-siz-uhm] Show IPA
a belief or doctrine that inherent differences among the various human races determine cultural or individual achievement, usually involving the idea that one's own race is superior and has the right to rule others.
a policy, system of government, etc., based upon or fostering such a doctrine; discrimination.
hatred or intolerance of another race or other races.
Why are you restricting definitions?
You didn't see the point of me posting all those definitions? Now you're just being intellectually lazy. A step above ecofarm, though, who quickly decided that anyone that disagreed with him was racist against black people (I specify, because one can be racist against white people, too, of course).