Cleaning out some old "to do" projects: In response to this:

Beck and every modern-day movement conservative would have stood with the segregationists, with the bigots, with the mobs who burned the buses carrying freedom riders.... How do we know? Easy. Because not one prominent conservative spokesperson of that time did the opposite. Not one. That's who they are. And the minute you forget that, the minute you insist on treating them better than they would treat you, the minute you insist on playing by rules that they refuse to as much as acknowledge, all is lost. They do not believe in democracy. They believe in power. White power.

Dave Kopel, over at Volokh, notes:

Charlton Heston, who later became President of National Rifle Association (and thus a leading "modern-day movement conservative" according to many people) marched with Martin Luther King.

Undeniably one of the most prominent conservatives of the sixties with Senator Everett McKinley Dirksen (R-Il.), the Senate minority leader. He played an indispensible, leading role in the passage of the Civil Rights Act of 1964. Thanks to Dirksen's wily maneuvering, for the first time in history a filibuster of a civil rights bill was broken. Republican Senators voted 27-6 for cloture. In the House, Republicans voted for the bill 138 to 34.

I have not been able to locate an on-line roll call of the votes of all the Congresspersons. Although both parties in 1964 were more ideologically diverse than they are today, I suspect that of the 80% of House Republicans who voted yes, there must have been many solid conservatives.

He goes on to a deduce a list of such, showing their solidly conservative ratings.

Although I'm far too young to have participated, I've met and worked for one of the original "freedom riders" — he was invited by our college Christian fellowship and we were thrilled to be in his presence. At his we request, among other things, we dug up and harvested (if that's the right word) a farmer's unwanted field of radishes in order to help with local poverty. We also invited the mayor of East St. Louis to come and speak about the area's problems and solutions. (There was plenty of work with homeless shelters, help with flooding victims, etc — these are just a few highlights, not an exhaustive list.) I'm fairly certain that a large portion (if not majority) of the students in that fellowship are today still (as they were then) fairly politically conservative.

What an odd thing it is today that the political party which most strongly resisted and opposed the Civil Rights acts of the 1960s (and every attempt before then), and served as the virtual political wing of the KKK, is today treated as if they were always at the vanguard of pushing for Civil Rights, when the truth is almost the complete opposite. Eugenics has always been a "progressive" idea, and there's a natural affinity between indulging in class-based (i.e. socialist) and race-based animus. Meanwhile, history has been rewritten to expunge evidence that it was, in fact, religiously and politically conservative Christians who were the largest supporters of the abolition and civil rights movements.