I think Kirk meant exactly what he said, and that is the problem. The fundamental divide between conservatives and liberal is whether they feel the need to treat members of out-groups as equal (in rights, in status, even in humanity) with their own preferred in-group. Empathy (by putting yourself in others shoes and experiencing the world as they experience it) demands that you you treat out groups as equal status to your in group. Sympathy is a cheat code where you get to still feel good about yourself while taking a dump on members of out-groups.
There's a ton of utility in this in group vs. out group frame, because it cuts the "identity politics" cord. There are many conservatives who do not use race as an in-group/out-group classifier (preferring political affiliation, for example) and that tends to stymie liberals who throw our blanket racism charges (making them easily refutable).
This doesn't change the fact that Kirk was clearly a racist. Nor does it change the fact that the racist conservatives outnumber the non-racist conservatives, and once they take full power they will purge their ranks and force their racist agenda universally (as any student of history will tell you is 100% inevitable).