First of all I don't understand what is meant by 'our' society?
The world is composed out of many societies
I was lucky to have had the opportunity to live in many different countries and my feeling is that racism is present in every society . However in Western societies there is some kind of effort to fight it. I don't know how succesful it is , maybe it is driving a lot of it underground. I think the Western effort to fight racism took a turn for the worse when the Politiaclly Correct movement got big. People wasted lots of energy of trying to change speech paterns from ' black' to 'African American' ,thinking that they have solved the problem that way.