doubleofive said:

Crap, would Nixon have signed the Civil Rights bills?

Research would need to be done but it is quite possible. The Republican Party was far more supportive of the Civil Rights bills than Democrats. President Eisenhower signed into law the Civil Rights Acts of 1957 and 1960.

For the 1964 bill, votes on the final version were

Senate:

Democratic Party: 46-21 (69%–31%)
Republican Party: 27-6 (82%–18%)

House:

Democratic Party: 153-91 (63%–37%)
Republican Party: 136-35 (80%–20%)

Nixon supported civil rights legislation while in the Senate and he helped with passage of the 1957 law. As president, he led efforts to desegregate schools - a big part of the 1964 Act. My guess is that he would have signed it. The one area where an issue might have arisen was Section II, but that's pure speculation on my part.

Edit:

Found an article that says:

"...former presidential candidate Richard Nixon also lobbied hard for the bill."

Need more information of course, but so far all information points to yes.