Equality in a capitalist society?

Have a look at this - an infographic roughly outlining the difference between left and rightwing viewpoints. Just for reference, we live in a capitalist society (generally the blue side), which is often concerned with creation of wealth, although there are a lot of aspects from the red side that you might recognise in our society, too (it's not a perfect division). Question for you then - is genuine equality possible in the society we live in? What about America in the 30s?