This particular one brings up a massive issue in my eyes, and I can't resist talking about it now that I've brought it up. Let us just quickly recap one of the intuitive (let's just say 'good') definitions of racism. "A belief that inherent differences among the various human races determine cultural or individual achievement". Seems fair, right? Now let's take another look at the comment above, "one finds that the assumptions about the superiority of the art, music, culture, politics, and philosophy rooted in white Europe are still very much alive". When read in-context, this is the author addressing what is (apparently) one of the central issues of the 'white supremacy' of the USA. That its social and cultural structure are based inordinately on a "white European" foundation (as opposed to other nations and ethnic groups around the world). Now, while I'm not going to get started on the issue of the comparative utility of different cultural conceptions (since even informed 'judice' can be difficult to defend from claims of 'prejudice'), there is a fundamental problem here in regarding ideologies and social systems that were in 'white' Europe centuries ago as being "white European". 
While there are mild, though seemingly large, physical dimorphisms, all homo sapiens (sapiens) 'races' are the same species (we're not even different sub-species, technically). Beyond that, we are genetically so similar to each other that, beyond pathology, we have a standardisation of physiological (and particularly, cognitive) capacity generally unseen in natural populations, even in our closest evolutionary relatives. You will find more genetic and neurological diversity between many visually indistinguishable chimpanzee tribes than you will find between any two normative humans from any populations in the world. It is because of this that in a very meaningful way, ideas and lingually-transmissible thought are near-equally accessible to all of us. Only in cases of insufficient informational background and intervening ideological predispositions, can you find any human being who is less capable of learning an idea or belief than the person who is trying to communicate it to them. In a very meaningful way, on the metaphysical playing field of ideas, beliefs, and means of regarding the world, we are all the same (to within negligible margins). 
What, therefore, could be more insulting, more prejudiced, more racist, than the assertion that particular ideologies, assumptions, and ideas, are somehow intrinsic to the racial context from which it arose? Could you imagine anything more incidental? Claims that rely on the validity of this distinction, are akin (though not entirely) to claiming that society is fundamentally biased in favour of people with yellowed-teeth, on the grounds that our societal ideologies were formed almost exclusively by people who had no dental care. While it may be true that people of (let's say) colonial times, had different attitudes towards dental hygiene than we do today, this does not colour any other thoughts they had with the 'yellow-tooth' context. The same can be said for the independence of ideologies from race. Any ideas or beliefs that don't pertain directly to the issue of race, cannot reasonably be claimed to be racially involved until such a connection is demonstrated. 
Such claims as those made by proponents of 'the new racism', are clear examples of a particular version of cultural relativism that attempts to invoke a kind of racially-defined historical culture, which 'belongs to' any given person beyond that which they have experienced in their lifetime. In essence, this is saying that there is something intrinsic to whatever race you are, that identifies you (by no choice of your own) with the incidental ideological history of other people (whom you've never met) who were also that race. 
This is tantamount to suggesting that the ancient Aztecs, having been worshippers of the Sun, have something intrinsic to their particular ethnic dimorphisms that makes sun-worshipping their thing. That it would be wrong of us to criticise such a cultural belief, or attempt to dissuade them from it, because even if they knew everything we know, about the scientific nature of Sun (as a giant ball of fusing hydrogen plasma which possess no intelligence or personality properties), they would still worship the Sun, because that's what Aztecs do! ... This is the prescribing of ideological states and identifications (or at the very least predispositions) on the basis of race! I struggle to think of any simple assumptions more fostering of racism than this!
And where does one draw the line in such a historical regression? Are contemporary democratic American ideals from 'white' European cultures? What of it's origins there? Is American society then Greco-Roman in ethnic origin? But what of the foundation of their society? Are we left at a point where all cultures must be thought of as containing fundamental biases towards African people, as tribalism in ancient Africa was the focal origin of all modern societies? Perhaps we have a racist system in favour of recent ancestor Homo sapiens idaltu? Ridiculous? I think so too! If lines of cultural influence need to be drawn very close to their literal popularisations, what is wrong with saying that American culture draws heavily from America, a multi-racial nation which grows more (and less, through interracial unions) multi-racial every generation?
The very identification of cultural elements that do not directly address race, as belonging to, being from, or being for any particular race, is an exercise in racism of the purest sort. Race does not equal culture, any more than skin colour equals cognitive capacity! I really wish the irony of this was not lost on the proponents of 'the new racism', who seem to grow more actually racist every time I check up on them... (You see what I did there? By referring to the new definition of racism as 'the new racism', I am leaving open the semantic interpretation that it is a new form of racism itself. Which it is! Get it? That's why I make the big bucks.)