Let us pray for wise and understanding hearts. â President Lyndon B. Johnson, upon signing the Civil Rights Act. On June 2, 1964, President Lyndon B. Johnson signed the Civil Rights Act, which was the most sweeping civil rights legislation since Reconstruction.et us pray for wise and understanding hearts. â President Lyndon B. Johnson, upon signing the Civil Rights Act. On June 2, 1964, President Lyndon B. Johnson signed the Civil Rights Act, which was the most sweeping civil rights legislation since Reconstruction.