The question seems really strange to me. I understand that there are some out there that think racism is dead and gone, but these are people that don't seem to have any awareness of what's going on around them. A good friend of mine is one of the most intelligent men I've ever known, and he thinks that racism no longer exists, or if it does, it's in the form of reverse racism. I realized that his intelligence seems to be compartmentalized to such a degree that the sociological impact of racism on this country hasn't really registered with him, and that the election of the countries first Black American. (Some still don't think he's an American) hasn't erased centuries of hate.
The recent findings of systemic racism within the Ferguson MO police department, and the SAE Fraternity's overt racist video should tell us something about whether racism is still alive or not.
I would say that as long as conservatism exists as a "legitimate" ideology, racism will be with us. It's embedded into the ideology.
Conservatism is the product of the anti-Enlightenment ideology of Edmund Burke and the re-affirmation of it by Conservative writer Russell Kirk. Burke was a traditionalist conservative as was Kirk and traditional values are held fast by conservatives.
In his chapter on southern conservatism, Kirk writes “that while human slavery is bad ground for conservatives to make a stand upon, yet the wild demands and expectations of the abolitionists were quite as slippery a foundation for political decency”.
Describing “Negroes” as “the menace of debased, ignorant and abysmally poor folk” he argued they “must tend to produce in the minds of the dominant people an anxiety to preserve every detail of the present structure, and an ultra-vigilant suspicion of innovation”.
According to Kirk, “In politics we do well to abide by precedent and precept and even prejudice, for the great mysterious incorporation of the human race has acquired a prescriptive wisdom far greater than any man’s petty private rationality.” Kirk is justifying prejudice here and we have many examples of conservatives over the years taking that justification to heart.
This is the ideology of conservatism as presented by those who gave the conservative movement it's name. Racism and prejudice are embedded into it, and conservatives must grapple with this as long as they call themselves "conservative".